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Finding the Fourth Proportional to 6,331.47, 9,498.53 and 1,948.71

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Solution

The fourth proportional to 6,331.47, 9,498.53 and 1,948.71 is: 2,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.47 : 9,498.53 = 1,948.71 : x
  2. Step 2: Convert to fraction form
    6,331.47/9,498.53 = 1,948.71/x
  3. Step 3: Cross multiply
    6,331.47x = 9,498.53 × 1,948.71
  4. Step 4: Simplify right side
    6,331.47x = 18,509,870.65
  5. Step 5: Solve for x
    x = 18,509,870.65/6,331.47
  6. Step 6: Final answer
    x = 2,923.47

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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.