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Finding the Fourth Proportional to 8,147.72, 12,225.90 and 6,071.96

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Solution

The fourth proportional to 8,147.72, 12,225.90 and 6,071.96 is: 9,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.72 : 12,225.90 = 6,071.96 : x
  2. Step 2: Convert to fraction form
    8,147.72/12,225.90 = 6,071.96/x
  3. Step 3: Cross multiply
    8,147.72x = 12,225.90 × 6,071.96
  4. Step 4: Simplify right side
    8,147.72x = 74,235,175.76
  5. Step 5: Solve for x
    x = 74,235,175.76/8,147.72
  6. Step 6: Final answer
    x = 9,111.16

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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.