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Finding the Fourth Proportional to 9,531.58, 13,150.43 and 5,753.31

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Solution

The fourth proportional to 9,531.58, 13,150.43 and 5,753.31 is: 7,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.58 : 13,150.43 = 5,753.31 : x
  2. Step 2: Convert to fraction form
    9,531.58/13,150.43 = 5,753.31/x
  3. Step 3: Cross multiply
    9,531.58x = 13,150.43 × 5,753.31
  4. Step 4: Simplify right side
    9,531.58x = 75,658,486.04
  5. Step 5: Solve for x
    x = 75,658,486.04/9,531.58
  6. Step 6: Final answer
    x = 7,937.66

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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.