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Finding the Fourth Proportional to 9,504.50, 14,244.18 and 6,880.78

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Solution

The fourth proportional to 9,504.50, 14,244.18 and 6,880.78 is: 10,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.50 : 14,244.18 = 6,880.78 : x
  2. Step 2: Convert to fraction form
    9,504.50/14,244.18 = 6,880.78/x
  3. Step 3: Cross multiply
    9,504.50x = 14,244.18 × 6,880.78
  4. Step 4: Simplify right side
    9,504.50x = 98,011,068.86
  5. Step 5: Solve for x
    x = 98,011,068.86/9,504.50
  6. Step 6: Final answer
    x = 10,312.07

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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.