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Finding the Fourth Proportional to 6,468.53, 9,704.16 and 2,089.04

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Solution

The fourth proportional to 6,468.53, 9,704.16 and 2,089.04 is: 3,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.53 : 9,704.16 = 2,089.04 : x
  2. Step 2: Convert to fraction form
    6,468.53/9,704.16 = 2,089.04/x
  3. Step 3: Cross multiply
    6,468.53x = 9,704.16 × 2,089.04
  4. Step 4: Simplify right side
    6,468.53x = 20,272,378.41
  5. Step 5: Solve for x
    x = 20,272,378.41/6,468.53
  6. Step 6: Final answer
    x = 3,134.00

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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.