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Finding the Fourth Proportional to 6,332.30, 9,497.60 and 1,949.39

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Solution

The fourth proportional to 6,332.30, 9,497.60 and 1,949.39 is: 2,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.30 : 9,497.60 = 1,949.39 : x
  2. Step 2: Convert to fraction form
    6,332.30/9,497.60 = 1,949.39/x
  3. Step 3: Cross multiply
    6,332.30x = 9,497.60 × 1,949.39
  4. Step 4: Simplify right side
    6,332.30x = 18,514,526.46
  5. Step 5: Solve for x
    x = 18,514,526.46/6,332.30
  6. Step 6: Final answer
    x = 2,923.82

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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.