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Finding the Fourth Proportional to 6,470.26, 9,705.38 and 2,573.76

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Solution

The fourth proportional to 6,470.26, 9,705.38 and 2,573.76 is: 3,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.26 : 9,705.38 = 2,573.76 : x
  2. Step 2: Convert to fraction form
    6,470.26/9,705.38 = 2,573.76/x
  3. Step 3: Cross multiply
    6,470.26x = 9,705.38 × 2,573.76
  4. Step 4: Simplify right side
    6,470.26x = 24,979,318.83
  5. Step 5: Solve for x
    x = 24,979,318.83/6,470.26
  6. Step 6: Final answer
    x = 3,860.64

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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.