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Finding the Fourth Proportional to 6,510.25, 9,759.39 and 2,349.28

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Solution

The fourth proportional to 6,510.25, 9,759.39 and 2,349.28 is: 3,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.25 : 9,759.39 = 2,349.28 : x
  2. Step 2: Convert to fraction form
    6,510.25/9,759.39 = 2,349.28/x
  3. Step 3: Cross multiply
    6,510.25x = 9,759.39 × 2,349.28
  4. Step 4: Simplify right side
    6,510.25x = 22,927,539.74
  5. Step 5: Solve for x
    x = 22,927,539.74/6,510.25
  6. Step 6: Final answer
    x = 3,521.76

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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.