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Finding the Fourth Proportional to 6,505.61, 9,762.08 and 6,452.73

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Solution

The fourth proportional to 6,505.61, 9,762.08 and 6,452.73 is: 9,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.61 : 9,762.08 = 6,452.73 : x
  2. Step 2: Convert to fraction form
    6,505.61/9,762.08 = 6,452.73/x
  3. Step 3: Cross multiply
    6,505.61x = 9,762.08 × 6,452.73
  4. Step 4: Simplify right side
    6,505.61x = 62,992,034.21
  5. Step 5: Solve for x
    x = 62,992,034.21/6,505.61
  6. Step 6: Final answer
    x = 9,682.73

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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.