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Finding the Fourth Proportional to 9,881.76, 14,812.92 and 4,691.28

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Solution

The fourth proportional to 9,881.76, 14,812.92 and 4,691.28 is: 7,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.76 : 14,812.92 = 4,691.28 : x
  2. Step 2: Convert to fraction form
    9,881.76/14,812.92 = 4,691.28/x
  3. Step 3: Cross multiply
    9,881.76x = 14,812.92 × 4,691.28
  4. Step 4: Simplify right side
    9,881.76x = 69,491,555.34
  5. Step 5: Solve for x
    x = 69,491,555.34/9,881.76
  6. Step 6: Final answer
    x = 7,032.31

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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.