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Finding the Fourth Proportional to 9,543.96, 13,170.78 and 5,352.24

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Solution

The fourth proportional to 9,543.96, 13,170.78 and 5,352.24 is: 7,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.96 : 13,170.78 = 5,352.24 : x
  2. Step 2: Convert to fraction form
    9,543.96/13,170.78 = 5,352.24/x
  3. Step 3: Cross multiply
    9,543.96x = 13,170.78 × 5,352.24
  4. Step 4: Simplify right side
    9,543.96x = 70,493,175.55
  5. Step 5: Solve for x
    x = 70,493,175.55/9,543.96
  6. Step 6: Final answer
    x = 7,386.16

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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.