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Finding the Fourth Proportional to 9,627.48, 14,461.68 and 9,065.70

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Solution

The fourth proportional to 9,627.48, 14,461.68 and 9,065.70 is: 13,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.48 : 14,461.68 = 9,065.70 : x
  2. Step 2: Convert to fraction form
    9,627.48/14,461.68 = 9,065.70/x
  3. Step 3: Cross multiply
    9,627.48x = 14,461.68 × 9,065.70
  4. Step 4: Simplify right side
    9,627.48x = 131,105,252.38
  5. Step 5: Solve for x
    x = 131,105,252.38/9,627.48
  6. Step 6: Final answer
    x = 13,617.82

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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.