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Finding the Fourth Proportional to 7,169.62, 9,902.46 and 6,539.05

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Solution

The fourth proportional to 7,169.62, 9,902.46 and 6,539.05 is: 9,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.62 : 9,902.46 = 6,539.05 : x
  2. Step 2: Convert to fraction form
    7,169.62/9,902.46 = 6,539.05/x
  3. Step 3: Cross multiply
    7,169.62x = 9,902.46 × 6,539.05
  4. Step 4: Simplify right side
    7,169.62x = 64,752,681.06
  5. Step 5: Solve for x
    x = 64,752,681.06/7,169.62
  6. Step 6: Final answer
    x = 9,031.54

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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.