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Finding the Fourth Proportional to 6,656.04, 9,189.72 and 4,141.80

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Solution

The fourth proportional to 6,656.04, 9,189.72 and 4,141.80 is: 5,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.04 : 9,189.72 = 4,141.80 : x
  2. Step 2: Convert to fraction form
    6,656.04/9,189.72 = 4,141.80/x
  3. Step 3: Cross multiply
    6,656.04x = 9,189.72 × 4,141.80
  4. Step 4: Simplify right side
    6,656.04x = 38,061,982.30
  5. Step 5: Solve for x
    x = 38,061,982.30/6,656.04
  6. Step 6: Final answer
    x = 5,718.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.