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Finding the Fourth Proportional to 9,689.34, 13,370.85 and 5,382.15

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Solution

The fourth proportional to 9,689.34, 13,370.85 and 5,382.15 is: 7,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.34 : 13,370.85 = 5,382.15 : x
  2. Step 2: Convert to fraction form
    9,689.34/13,370.85 = 5,382.15/x
  3. Step 3: Cross multiply
    9,689.34x = 13,370.85 × 5,382.15
  4. Step 4: Simplify right side
    9,689.34x = 71,963,920.33
  5. Step 5: Solve for x
    x = 71,963,920.33/9,689.34
  6. Step 6: Final answer
    x = 7,427.12

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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.