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Finding the Fourth Proportional to 9,029.20, 13,543.80 and 5,731.60

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Solution

The fourth proportional to 9,029.20, 13,543.80 and 5,731.60 is: 8,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.20 : 13,543.80 = 5,731.60 : x
  2. Step 2: Convert to fraction form
    9,029.20/13,543.80 = 5,731.60/x
  3. Step 3: Cross multiply
    9,029.20x = 13,543.80 × 5,731.60
  4. Step 4: Simplify right side
    9,029.20x = 77,627,644.08
  5. Step 5: Solve for x
    x = 77,627,644.08/9,029.20
  6. Step 6: Final answer
    x = 8,597.40

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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.