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Finding the Fourth Proportional to 6,159.30, 9,238.86 and 4,180.02

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Solution

The fourth proportional to 6,159.30, 9,238.86 and 4,180.02 is: 6,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.30 : 9,238.86 = 4,180.02 : x
  2. Step 2: Convert to fraction form
    6,159.30/9,238.86 = 4,180.02/x
  3. Step 3: Cross multiply
    6,159.30x = 9,238.86 × 4,180.02
  4. Step 4: Simplify right side
    6,159.30x = 38,618,619.58
  5. Step 5: Solve for x
    x = 38,618,619.58/6,159.30
  6. Step 6: Final answer
    x = 6,269.97

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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.