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Finding the Fourth Proportional to 6,265.71, 9,403.11 and 5,047.83

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Solution

The fourth proportional to 6,265.71, 9,403.11 and 5,047.83 is: 7,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.71 : 9,403.11 = 5,047.83 : x
  2. Step 2: Convert to fraction form
    6,265.71/9,403.11 = 5,047.83/x
  3. Step 3: Cross multiply
    6,265.71x = 9,403.11 × 5,047.83
  4. Step 4: Simplify right side
    6,265.71x = 47,465,300.75
  5. Step 5: Solve for x
    x = 47,465,300.75/6,265.71
  6. Step 6: Final answer
    x = 7,575.41

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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.