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Finding the Fourth Proportional to 9,929.71, 13,693.85 and 6,747.76

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Solution

The fourth proportional to 9,929.71, 13,693.85 and 6,747.76 is: 9,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.71 : 13,693.85 = 6,747.76 : x
  2. Step 2: Convert to fraction form
    9,929.71/13,693.85 = 6,747.76/x
  3. Step 3: Cross multiply
    9,929.71x = 13,693.85 × 6,747.76
  4. Step 4: Simplify right side
    9,929.71x = 92,402,711.07
  5. Step 5: Solve for x
    x = 92,402,711.07/9,929.71
  6. Step 6: Final answer
    x = 9,305.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.