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Finding the Fourth Proportional to 6,332.61, 9,478.55 and 3,366.97

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Solution

The fourth proportional to 6,332.61, 9,478.55 and 3,366.97 is: 5,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.61 : 9,478.55 = 3,366.97 : x
  2. Step 2: Convert to fraction form
    6,332.61/9,478.55 = 3,366.97/x
  3. Step 3: Cross multiply
    6,332.61x = 9,478.55 × 3,366.97
  4. Step 4: Simplify right side
    6,332.61x = 31,913,978.21
  5. Step 5: Solve for x
    x = 31,913,978.21/6,332.61
  6. Step 6: Final answer
    x = 5,039.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.