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Finding the Fourth Proportional to 6,141.70, 9,205.65 and 2,442.93

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Solution

The fourth proportional to 6,141.70, 9,205.65 and 2,442.93 is: 3,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.70 : 9,205.65 = 2,442.93 : x
  2. Step 2: Convert to fraction form
    6,141.70/9,205.65 = 2,442.93/x
  3. Step 3: Cross multiply
    6,141.70x = 9,205.65 × 2,442.93
  4. Step 4: Simplify right side
    6,141.70x = 22,488,758.55
  5. Step 5: Solve for x
    x = 22,488,758.55/6,141.70
  6. Step 6: Final answer
    x = 3,661.65

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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.