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Finding the Fourth Proportional to 6,339.68, 9,485.76 and 5,244.56

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Solution

The fourth proportional to 6,339.68, 9,485.76 and 5,244.56 is: 7,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.68 : 9,485.76 = 5,244.56 : x
  2. Step 2: Convert to fraction form
    6,339.68/9,485.76 = 5,244.56/x
  3. Step 3: Cross multiply
    6,339.68x = 9,485.76 × 5,244.56
  4. Step 4: Simplify right side
    6,339.68x = 49,748,637.47
  5. Step 5: Solve for x
    x = 49,748,637.47/6,339.68
  6. Step 6: Final answer
    x = 7,847.18

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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.