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Finding the Fourth Proportional to 9,424.12, 12,991.38 and 7,182.10

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Solution

The fourth proportional to 9,424.12, 12,991.38 and 7,182.10 is: 9,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.12 : 12,991.38 = 7,182.10 : x
  2. Step 2: Convert to fraction form
    9,424.12/12,991.38 = 7,182.10/x
  3. Step 3: Cross multiply
    9,424.12x = 12,991.38 × 7,182.10
  4. Step 4: Simplify right side
    9,424.12x = 93,305,390.30
  5. Step 5: Solve for x
    x = 93,305,390.30/9,424.12
  6. Step 6: Final answer
    x = 9,900.70

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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.