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Finding the Fourth Proportional to 6,332.31, 9,498.47 and 4,219.47

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Solution

The fourth proportional to 6,332.31, 9,498.47 and 4,219.47 is: 6,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.31 : 9,498.47 = 4,219.47 : x
  2. Step 2: Convert to fraction form
    6,332.31/9,498.47 = 4,219.47/x
  3. Step 3: Cross multiply
    6,332.31x = 9,498.47 × 4,219.47
  4. Step 4: Simplify right side
    6,332.31x = 40,078,488.11
  5. Step 5: Solve for x
    x = 40,078,488.11/6,332.31
  6. Step 6: Final answer
    x = 6,329.21

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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.