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Finding the Fourth Proportional to 9,594.48, 13,234.68 and 5,862

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Solution

The fourth proportional to 9,594.48, 13,234.68 and 5,862 is: 8,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.48 : 13,234.68 = 5,862 : x
  2. Step 2: Convert to fraction form
    9,594.48/13,234.68 = 5,862/x
  3. Step 3: Cross multiply
    9,594.48x = 13,234.68 × 5,862
  4. Step 4: Simplify right side
    9,594.48x = 77,581,694.16
  5. Step 5: Solve for x
    x = 77,581,694.16/9,594.48
  6. Step 6: Final answer
    x = 8,086.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.