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Finding the Fourth Proportional to 9,537.31, 13,160.77 and 5,344.75

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Solution

The fourth proportional to 9,537.31, 13,160.77 and 5,344.75 is: 7,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.31 : 13,160.77 = 5,344.75 : x
  2. Step 2: Convert to fraction form
    9,537.31/13,160.77 = 5,344.75/x
  3. Step 3: Cross multiply
    9,537.31x = 13,160.77 × 5,344.75
  4. Step 4: Simplify right side
    9,537.31x = 70,341,025.46
  5. Step 5: Solve for x
    x = 70,341,025.46/9,537.31
  6. Step 6: Final answer
    x = 7,375.35

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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.