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Finding the Fourth Proportional to 6,140.70, 9,211.05 and 1,523.70

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Solution

The fourth proportional to 6,140.70, 9,211.05 and 1,523.70 is: 2,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.70 : 9,211.05 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    6,140.70/9,211.05 = 1,523.70/x
  3. Step 3: Cross multiply
    6,140.70x = 9,211.05 × 1,523.70
  4. Step 4: Simplify right side
    6,140.70x = 14,034,876.89
  5. Step 5: Solve for x
    x = 14,034,876.89/6,140.70
  6. Step 6: Final answer
    x = 2,285.55

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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.