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Finding the Fourth Proportional to 6,932.41, 9,565.62 and 3,948.30

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Solution

The fourth proportional to 6,932.41, 9,565.62 and 3,948.30 is: 5,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.41 : 9,565.62 = 3,948.30 : x
  2. Step 2: Convert to fraction form
    6,932.41/9,565.62 = 3,948.30/x
  3. Step 3: Cross multiply
    6,932.41x = 9,565.62 × 3,948.30
  4. Step 4: Simplify right side
    6,932.41x = 37,767,922.64
  5. Step 5: Solve for x
    x = 37,767,922.64/6,932.41
  6. Step 6: Final answer
    x = 5,448.02

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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.