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Finding the Fourth Proportional to 9,657.24, 14,453.04 and 7,475.70

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Solution

The fourth proportional to 9,657.24, 14,453.04 and 7,475.70 is: 11,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.24 : 14,453.04 = 7,475.70 : x
  2. Step 2: Convert to fraction form
    9,657.24/14,453.04 = 7,475.70/x
  3. Step 3: Cross multiply
    9,657.24x = 14,453.04 × 7,475.70
  4. Step 4: Simplify right side
    9,657.24x = 108,046,591.13
  5. Step 5: Solve for x
    x = 108,046,591.13/9,657.24
  6. Step 6: Final answer
    x = 11,188.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.