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Finding the Fourth Proportional to 9,681.20, 14,532.60 and 9,046.70

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Solution

The fourth proportional to 9,681.20, 14,532.60 and 9,046.70 is: 13,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.20 : 14,532.60 = 9,046.70 : x
  2. Step 2: Convert to fraction form
    9,681.20/14,532.60 = 9,046.70/x
  3. Step 3: Cross multiply
    9,681.20x = 14,532.60 × 9,046.70
  4. Step 4: Simplify right side
    9,681.20x = 131,472,072.42
  5. Step 5: Solve for x
    x = 131,472,072.42/9,681.20
  6. Step 6: Final answer
    x = 13,580.14

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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.