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Finding the Fourth Proportional to 7,057.09, 9,734.36 and 4,542.47

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Solution

The fourth proportional to 7,057.09, 9,734.36 and 4,542.47 is: 6,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.09 : 9,734.36 = 4,542.47 : x
  2. Step 2: Convert to fraction form
    7,057.09/9,734.36 = 4,542.47/x
  3. Step 3: Cross multiply
    7,057.09x = 9,734.36 × 4,542.47
  4. Step 4: Simplify right side
    7,057.09x = 44,217,966.89
  5. Step 5: Solve for x
    x = 44,217,966.89/7,057.09
  6. Step 6: Final answer
    x = 6,265.75

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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.