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Finding the Fourth Proportional to 6,117.70, 9,170.28 and 4,143.54

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Solution

The fourth proportional to 6,117.70, 9,170.28 and 4,143.54 is: 6,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.70 : 9,170.28 = 4,143.54 : x
  2. Step 2: Convert to fraction form
    6,117.70/9,170.28 = 4,143.54/x
  3. Step 3: Cross multiply
    6,117.70x = 9,170.28 × 4,143.54
  4. Step 4: Simplify right side
    6,117.70x = 37,997,376.14
  5. Step 5: Solve for x
    x = 37,997,376.14/6,117.70
  6. Step 6: Final answer
    x = 6,211.06

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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.