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Finding the Fourth Proportional to 9,156.83, 13,735.25 and 8,689.37

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Solution

The fourth proportional to 9,156.83, 13,735.25 and 8,689.37 is: 13,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.83 : 13,735.25 = 8,689.37 : x
  2. Step 2: Convert to fraction form
    9,156.83/13,735.25 = 8,689.37/x
  3. Step 3: Cross multiply
    9,156.83x = 13,735.25 × 8,689.37
  4. Step 4: Simplify right side
    9,156.83x = 119,350,557.17
  5. Step 5: Solve for x
    x = 119,350,557.17/9,156.83
  6. Step 6: Final answer
    x = 13,034.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.