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Finding the Fourth Proportional to 6,902.04, 10,363.86 and 6,124.44

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Solution

The fourth proportional to 6,902.04, 10,363.86 and 6,124.44 is: 9,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.04 : 10,363.86 = 6,124.44 : x
  2. Step 2: Convert to fraction form
    6,902.04/10,363.86 = 6,124.44/x
  3. Step 3: Cross multiply
    6,902.04x = 10,363.86 × 6,124.44
  4. Step 4: Simplify right side
    6,902.04x = 63,472,838.74
  5. Step 5: Solve for x
    x = 63,472,838.74/6,902.04
  6. Step 6: Final answer
    x = 9,196.24

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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.