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Finding the Fourth Proportional to 9,601.47, 14,471.60 and 9,065.25

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Solution

The fourth proportional to 9,601.47, 14,471.60 and 9,065.25 is: 13,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.47 : 14,471.60 = 9,065.25 : x
  2. Step 2: Convert to fraction form
    9,601.47/14,471.60 = 9,065.25/x
  3. Step 3: Cross multiply
    9,601.47x = 14,471.60 × 9,065.25
  4. Step 4: Simplify right side
    9,601.47x = 131,188,626.57
  5. Step 5: Solve for x
    x = 131,188,626.57/9,601.47
  6. Step 6: Final answer
    x = 13,663.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.