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Finding the Fourth Proportional to 6,501.97, 8,972.65 and 3,517.74

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Solution

The fourth proportional to 6,501.97, 8,972.65 and 3,517.74 is: 4,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.97 : 8,972.65 = 3,517.74 : x
  2. Step 2: Convert to fraction form
    6,501.97/8,972.65 = 3,517.74/x
  3. Step 3: Cross multiply
    6,501.97x = 8,972.65 × 3,517.74
  4. Step 4: Simplify right side
    6,501.97x = 31,563,454.21
  5. Step 5: Solve for x
    x = 31,563,454.21/6,501.97
  6. Step 6: Final answer
    x = 4,854.44

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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.