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Finding the Fourth Proportional to 8,323.72, 12,494.16 and 6,494.86

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Solution

The fourth proportional to 8,323.72, 12,494.16 and 6,494.86 is: 9,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.72 : 12,494.16 = 6,494.86 : x
  2. Step 2: Convert to fraction form
    8,323.72/12,494.16 = 6,494.86/x
  3. Step 3: Cross multiply
    8,323.72x = 12,494.16 × 6,494.86
  4. Step 4: Simplify right side
    8,323.72x = 81,147,820.02
  5. Step 5: Solve for x
    x = 81,147,820.02/8,323.72
  6. Step 6: Final answer
    x = 9,748.98

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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.