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Finding the Fourth Proportional to 9,689.85, 13,372.29 and 6,862.32

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Solution

The fourth proportional to 9,689.85, 13,372.29 and 6,862.32 is: 9,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.85 : 13,372.29 = 6,862.32 : x
  2. Step 2: Convert to fraction form
    9,689.85/13,372.29 = 6,862.32/x
  3. Step 3: Cross multiply
    9,689.85x = 13,372.29 × 6,862.32
  4. Step 4: Simplify right side
    9,689.85x = 91,764,933.11
  5. Step 5: Solve for x
    x = 91,764,933.11/9,689.85
  6. Step 6: Final answer
    x = 9,470.21

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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.