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Finding the Fourth Proportional to 6,124.16, 9,179.94 and 3,488.24

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Solution

The fourth proportional to 6,124.16, 9,179.94 and 3,488.24 is: 5,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.16 : 9,179.94 = 3,488.24 : x
  2. Step 2: Convert to fraction form
    6,124.16/9,179.94 = 3,488.24/x
  3. Step 3: Cross multiply
    6,124.16x = 9,179.94 × 3,488.24
  4. Step 4: Simplify right side
    6,124.16x = 32,021,833.91
  5. Step 5: Solve for x
    x = 32,021,833.91/6,124.16
  6. Step 6: Final answer
    x = 5,228.77

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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.