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Finding the Fourth Proportional to 6,095.47, 9,142.12 and 2,199.91

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Solution

The fourth proportional to 6,095.47, 9,142.12 and 2,199.91 is: 3,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.47 : 9,142.12 = 2,199.91 : x
  2. Step 2: Convert to fraction form
    6,095.47/9,142.12 = 2,199.91/x
  3. Step 3: Cross multiply
    6,095.47x = 9,142.12 × 2,199.91
  4. Step 4: Simplify right side
    6,095.47x = 20,111,841.21
  5. Step 5: Solve for x
    x = 20,111,841.21/6,095.47
  6. Step 6: Final answer
    x = 3,299.47

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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.