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Finding the Fourth Proportional to 6,505.60, 9,751.40 and 2,809.57

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Solution

The fourth proportional to 6,505.60, 9,751.40 and 2,809.57 is: 4,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.60 : 9,751.40 = 2,809.57 : x
  2. Step 2: Convert to fraction form
    6,505.60/9,751.40 = 2,809.57/x
  3. Step 3: Cross multiply
    6,505.60x = 9,751.40 × 2,809.57
  4. Step 4: Simplify right side
    6,505.60x = 27,397,240.90
  5. Step 5: Solve for x
    x = 27,397,240.90/6,505.60
  6. Step 6: Final answer
    x = 4,211.33

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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.