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Finding the Fourth Proportional to 9,894,838.40, 14,824,542.90 and 8,477,662.40

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Solution

The fourth proportional to 9,894,838.40, 14,824,542.90 and 8,477,662.40 is: 12,701,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,838.40 : 14,824,542.90 = 8,477,662.40 : x
  2. Step 2: Convert to fraction form
    9,894,838.40/14,824,542.90 = 8,477,662.40/x
  3. Step 3: Cross multiply
    9,894,838.40x = 14,824,542.90 × 8,477,662.40
  4. Step 4: Simplify right side
    9,894,838.40x = 125,677,469,940,516.97
  5. Step 5: Solve for x
    x = 125,677,469,940,516.97/9,894,838.40
  6. Step 6: Final answer
    x = 12,701,316.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.