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Finding the Fourth Proportional to 9,689.40, 13,373.52 and 6,151.94

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Solution

The fourth proportional to 9,689.40, 13,373.52 and 6,151.94 is: 8,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.40 : 13,373.52 = 6,151.94 : x
  2. Step 2: Convert to fraction form
    9,689.40/13,373.52 = 6,151.94/x
  3. Step 3: Cross multiply
    9,689.40x = 13,373.52 × 6,151.94
  4. Step 4: Simplify right side
    9,689.40x = 82,273,092.63
  5. Step 5: Solve for x
    x = 82,273,092.63/9,689.40
  6. Step 6: Final answer
    x = 8,491.04

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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.