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Finding the Fourth Proportional to 6,470.52, 9,705.84 and 5,180.19

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Solution

The fourth proportional to 6,470.52, 9,705.84 and 5,180.19 is: 7,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.52 : 9,705.84 = 5,180.19 : x
  2. Step 2: Convert to fraction form
    6,470.52/9,705.84 = 5,180.19/x
  3. Step 3: Cross multiply
    6,470.52x = 9,705.84 × 5,180.19
  4. Step 4: Simplify right side
    6,470.52x = 50,278,095.31
  5. Step 5: Solve for x
    x = 50,278,095.31/6,470.52
  6. Step 6: Final answer
    x = 7,770.33

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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.