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Finding the Fourth Proportional to 9,588.80, 14,385.16 and 4,042.15

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Solution

The fourth proportional to 9,588.80, 14,385.16 and 4,042.15 is: 6,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.80 : 14,385.16 = 4,042.15 : x
  2. Step 2: Convert to fraction form
    9,588.80/14,385.16 = 4,042.15/x
  3. Step 3: Cross multiply
    9,588.80x = 14,385.16 × 4,042.15
  4. Step 4: Simplify right side
    9,588.80x = 58,147,033.03
  5. Step 5: Solve for x
    x = 58,147,033.03/9,588.80
  6. Step 6: Final answer
    x = 6,064.06

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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.