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Finding the Fourth Proportional to 6,565.32, 9,058.14 and 3,732.48

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Solution

The fourth proportional to 6,565.32, 9,058.14 and 3,732.48 is: 5,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.32 : 9,058.14 = 3,732.48 : x
  2. Step 2: Convert to fraction form
    6,565.32/9,058.14 = 3,732.48/x
  3. Step 3: Cross multiply
    6,565.32x = 9,058.14 × 3,732.48
  4. Step 4: Simplify right side
    6,565.32x = 33,809,326.39
  5. Step 5: Solve for x
    x = 33,809,326.39/6,565.32
  6. Step 6: Final answer
    x = 5,149.68

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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.