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Finding the Fourth Proportional to 8,421.04, 12,642.50 and 6,474.61

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Solution

The fourth proportional to 8,421.04, 12,642.50 and 6,474.61 is: 9,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.04 : 12,642.50 = 6,474.61 : x
  2. Step 2: Convert to fraction form
    8,421.04/12,642.50 = 6,474.61/x
  3. Step 3: Cross multiply
    8,421.04x = 12,642.50 × 6,474.61
  4. Step 4: Simplify right side
    8,421.04x = 81,855,224.55
  5. Step 5: Solve for x
    x = 81,855,224.55/8,421.04
  6. Step 6: Final answer
    x = 9,720.32

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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.