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Finding the Fourth Proportional to 9,089.69, 13,612.65 and 6,159.11

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Solution

The fourth proportional to 9,089.69, 13,612.65 and 6,159.11 is: 9,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.69 : 13,612.65 = 6,159.11 : x
  2. Step 2: Convert to fraction form
    9,089.69/13,612.65 = 6,159.11/x
  3. Step 3: Cross multiply
    9,089.69x = 13,612.65 × 6,159.11
  4. Step 4: Simplify right side
    9,089.69x = 83,841,740.68
  5. Step 5: Solve for x
    x = 83,841,740.68/9,089.69
  6. Step 6: Final answer
    x = 9,223.83

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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.