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Finding the Fourth Proportional to 6,437.30, 9,661.08 and 5,523.62

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Solution

The fourth proportional to 6,437.30, 9,661.08 and 5,523.62 is: 8,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.30 : 9,661.08 = 5,523.62 : x
  2. Step 2: Convert to fraction form
    6,437.30/9,661.08 = 5,523.62/x
  3. Step 3: Cross multiply
    6,437.30x = 9,661.08 × 5,523.62
  4. Step 4: Simplify right side
    6,437.30x = 53,364,134.71
  5. Step 5: Solve for x
    x = 53,364,134.71/6,437.30
  6. Step 6: Final answer
    x = 8,289.83

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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.