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Finding the Fourth Proportional to 6,339.24, 9,510.60 and 2,643.20

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Solution

The fourth proportional to 6,339.24, 9,510.60 and 2,643.20 is: 3,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.24 : 9,510.60 = 2,643.20 : x
  2. Step 2: Convert to fraction form
    6,339.24/9,510.60 = 2,643.20/x
  3. Step 3: Cross multiply
    6,339.24x = 9,510.60 × 2,643.20
  4. Step 4: Simplify right side
    6,339.24x = 25,138,417.92
  5. Step 5: Solve for x
    x = 25,138,417.92/6,339.24
  6. Step 6: Final answer
    x = 3,965.53

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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.