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Finding the Fourth Proportional to 6,932.74, 9,567.17 and 3,788.95

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Solution

The fourth proportional to 6,932.74, 9,567.17 and 3,788.95 is: 5,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.74 : 9,567.17 = 3,788.95 : x
  2. Step 2: Convert to fraction form
    6,932.74/9,567.17 = 3,788.95/x
  3. Step 3: Cross multiply
    6,932.74x = 9,567.17 × 3,788.95
  4. Step 4: Simplify right side
    6,932.74x = 36,249,509.83
  5. Step 5: Solve for x
    x = 36,249,509.83/6,932.74
  6. Step 6: Final answer
    x = 5,228.74

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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.