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Finding the Fourth Proportional to 6,281.59, 9,423.92 and 4,436.31

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Solution

The fourth proportional to 6,281.59, 9,423.92 and 4,436.31 is: 6,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.59 : 9,423.92 = 4,436.31 : x
  2. Step 2: Convert to fraction form
    6,281.59/9,423.92 = 4,436.31/x
  3. Step 3: Cross multiply
    6,281.59x = 9,423.92 × 4,436.31
  4. Step 4: Simplify right side
    6,281.59x = 41,807,430.54
  5. Step 5: Solve for x
    x = 41,807,430.54/6,281.59
  6. Step 6: Final answer
    x = 6,655.55

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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.