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Finding the Fourth Proportional to 8,478.22, 12,715.08 and 6,005.74

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Solution

The fourth proportional to 8,478.22, 12,715.08 and 6,005.74 is: 9,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.22 : 12,715.08 = 6,005.74 : x
  2. Step 2: Convert to fraction form
    8,478.22/12,715.08 = 6,005.74/x
  3. Step 3: Cross multiply
    8,478.22x = 12,715.08 × 6,005.74
  4. Step 4: Simplify right side
    8,478.22x = 76,363,464.56
  5. Step 5: Solve for x
    x = 76,363,464.56/8,478.22
  6. Step 6: Final answer
    x = 9,007.02

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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.