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Finding the Fourth Proportional to 9,592.80, 14,391.17 and 4,046.16

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Solution

The fourth proportional to 9,592.80, 14,391.17 and 4,046.16 is: 6,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.80 : 14,391.17 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    9,592.80/14,391.17 = 4,046.16/x
  3. Step 3: Cross multiply
    9,592.80x = 14,391.17 × 4,046.16
  4. Step 4: Simplify right side
    9,592.80x = 58,228,976.41
  5. Step 5: Solve for x
    x = 58,228,976.41/9,592.80
  6. Step 6: Final answer
    x = 6,070.07

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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.