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Finding the Fourth Proportional to 9,881.92, 14,827.04 and 4,332.40

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Solution

The fourth proportional to 9,881.92, 14,827.04 and 4,332.40 is: 6,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.92 : 14,827.04 = 4,332.40 : x
  2. Step 2: Convert to fraction form
    9,881.92/14,827.04 = 4,332.40/x
  3. Step 3: Cross multiply
    9,881.92x = 14,827.04 × 4,332.40
  4. Step 4: Simplify right side
    9,881.92x = 64,236,668.10
  5. Step 5: Solve for x
    x = 64,236,668.10/9,881.92
  6. Step 6: Final answer
    x = 6,500.42

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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.