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Finding the Fourth Proportional to 9,043.82, 12,481 and 5,065.10

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Solution

The fourth proportional to 9,043.82, 12,481 and 5,065.10 is: 6,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.82 : 12,481 = 5,065.10 : x
  2. Step 2: Convert to fraction form
    9,043.82/12,481 = 5,065.10/x
  3. Step 3: Cross multiply
    9,043.82x = 12,481 × 5,065.10
  4. Step 4: Simplify right side
    9,043.82x = 63,217,513.10
  5. Step 5: Solve for x
    x = 63,217,513.10/9,043.82
  6. Step 6: Final answer
    x = 6,990.13

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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.