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Finding the Fourth Proportional to 6,063.76, 9,098.04 and 4,114.96

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Solution

The fourth proportional to 6,063.76, 9,098.04 and 4,114.96 is: 6,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,063.76 : 9,098.04 = 4,114.96 : x
  2. Step 2: Convert to fraction form
    6,063.76/9,098.04 = 4,114.96/x
  3. Step 3: Cross multiply
    6,063.76x = 9,098.04 × 4,114.96
  4. Step 4: Simplify right side
    6,063.76x = 37,438,070.68
  5. Step 5: Solve for x
    x = 37,438,070.68/6,063.76
  6. Step 6: Final answer
    x = 6,174.07

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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.