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Finding the Fourth Proportional to 9,657.29, 13,329.14 and 5,881.70

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Solution

The fourth proportional to 9,657.29, 13,329.14 and 5,881.70 is: 8,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.29 : 13,329.14 = 5,881.70 : x
  2. Step 2: Convert to fraction form
    9,657.29/13,329.14 = 5,881.70/x
  3. Step 3: Cross multiply
    9,657.29x = 13,329.14 × 5,881.70
  4. Step 4: Simplify right side
    9,657.29x = 78,398,002.74
  5. Step 5: Solve for x
    x = 78,398,002.74/9,657.29
  6. Step 6: Final answer
    x = 8,118.01

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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.