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Finding the Fourth Proportional to 6,541.87, 9,031.14 and 5,046.43

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Solution

The fourth proportional to 6,541.87, 9,031.14 and 5,046.43 is: 6,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.87 : 9,031.14 = 5,046.43 : x
  2. Step 2: Convert to fraction form
    6,541.87/9,031.14 = 5,046.43/x
  3. Step 3: Cross multiply
    6,541.87x = 9,031.14 × 5,046.43
  4. Step 4: Simplify right side
    6,541.87x = 45,575,015.83
  5. Step 5: Solve for x
    x = 45,575,015.83/6,541.87
  6. Step 6: Final answer
    x = 6,966.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.