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Finding the Fourth Proportional to 9,385.58, 14,073.16 and 3,842.82

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Solution

The fourth proportional to 9,385.58, 14,073.16 and 3,842.82 is: 5,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.58 : 14,073.16 = 3,842.82 : x
  2. Step 2: Convert to fraction form
    9,385.58/14,073.16 = 3,842.82/x
  3. Step 3: Cross multiply
    9,385.58x = 14,073.16 × 3,842.82
  4. Step 4: Simplify right side
    9,385.58x = 54,080,620.71
  5. Step 5: Solve for x
    x = 54,080,620.71/9,385.58
  6. Step 6: Final answer
    x = 5,762.10

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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.