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Finding the Fourth Proportional to 6,422.84, 9,638.28 and 2,527.16

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Solution

The fourth proportional to 6,422.84, 9,638.28 and 2,527.16 is: 3,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.84 : 9,638.28 = 2,527.16 : x
  2. Step 2: Convert to fraction form
    6,422.84/9,638.28 = 2,527.16/x
  3. Step 3: Cross multiply
    6,422.84x = 9,638.28 × 2,527.16
  4. Step 4: Simplify right side
    6,422.84x = 24,357,475.68
  5. Step 5: Solve for x
    x = 24,357,475.68/6,422.84
  6. Step 6: Final answer
    x = 3,792.32

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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.