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Finding the Fourth Proportional to 6,509.25, 9,761.85 and 2,348.71

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Solution

The fourth proportional to 6,509.25, 9,761.85 and 2,348.71 is: 3,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.25 : 9,761.85 = 2,348.71 : x
  2. Step 2: Convert to fraction form
    6,509.25/9,761.85 = 2,348.71/x
  3. Step 3: Cross multiply
    6,509.25x = 9,761.85 × 2,348.71
  4. Step 4: Simplify right side
    6,509.25x = 22,927,785.22
  5. Step 5: Solve for x
    x = 22,927,785.22/6,509.25
  6. Step 6: Final answer
    x = 3,522.34

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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.