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Finding the Fourth Proportional to 6,142.47, 9,217.32 and 3,368.62

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Solution

The fourth proportional to 6,142.47, 9,217.32 and 3,368.62 is: 5,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.47 : 9,217.32 = 3,368.62 : x
  2. Step 2: Convert to fraction form
    6,142.47/9,217.32 = 3,368.62/x
  3. Step 3: Cross multiply
    6,142.47x = 9,217.32 × 3,368.62
  4. Step 4: Simplify right side
    6,142.47x = 31,049,648.50
  5. Step 5: Solve for x
    x = 31,049,648.50/6,142.47
  6. Step 6: Final answer
    x = 5,054.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.