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Finding the Fourth Proportional to 6,141.48, 9,208.80 and 4,196.04

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Solution

The fourth proportional to 6,141.48, 9,208.80 and 4,196.04 is: 6,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.48 : 9,208.80 = 4,196.04 : x
  2. Step 2: Convert to fraction form
    6,141.48/9,208.80 = 4,196.04/x
  3. Step 3: Cross multiply
    6,141.48x = 9,208.80 × 4,196.04
  4. Step 4: Simplify right side
    6,141.48x = 38,640,493.15
  5. Step 5: Solve for x
    x = 38,640,493.15/6,141.48
  6. Step 6: Final answer
    x = 6,291.72

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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.