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Finding the Fourth Proportional to 6,265.20, 9,402.36 and 5,047.32

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Solution

The fourth proportional to 6,265.20, 9,402.36 and 5,047.32 is: 7,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.20 : 9,402.36 = 5,047.32 : x
  2. Step 2: Convert to fraction form
    6,265.20/9,402.36 = 5,047.32/x
  3. Step 3: Cross multiply
    6,265.20x = 9,402.36 × 5,047.32
  4. Step 4: Simplify right side
    6,265.20x = 47,456,719.68
  5. Step 5: Solve for x
    x = 47,456,719.68/6,265.20
  6. Step 6: Final answer
    x = 7,574.65

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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.