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Finding the Fourth Proportional to 6,468.04, 9,704.58 and 2,572.84

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Solution

The fourth proportional to 6,468.04, 9,704.58 and 2,572.84 is: 3,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.04 : 9,704.58 = 2,572.84 : x
  2. Step 2: Convert to fraction form
    6,468.04/9,704.58 = 2,572.84/x
  3. Step 3: Cross multiply
    6,468.04x = 9,704.58 × 2,572.84
  4. Step 4: Simplify right side
    6,468.04x = 24,968,331.61
  5. Step 5: Solve for x
    x = 24,968,331.61/6,468.04
  6. Step 6: Final answer
    x = 3,860.26

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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.