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Finding the Fourth Proportional to 9,702.45, 13,389.17 and 5,724.81

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Solution

The fourth proportional to 9,702.45, 13,389.17 and 5,724.81 is: 7,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.45 : 13,389.17 = 5,724.81 : x
  2. Step 2: Convert to fraction form
    9,702.45/13,389.17 = 5,724.81/x
  3. Step 3: Cross multiply
    9,702.45x = 13,389.17 × 5,724.81
  4. Step 4: Simplify right side
    9,702.45x = 76,650,425.68
  5. Step 5: Solve for x
    x = 76,650,425.68/9,702.45
  6. Step 6: Final answer
    x = 7,900.11

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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.