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Finding the Fourth Proportional to 9,781.20, 13,500 and 6,424.56

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Solution

The fourth proportional to 9,781.20, 13,500 and 6,424.56 is: 8,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.20 : 13,500 = 6,424.56 : x
  2. Step 2: Convert to fraction form
    9,781.20/13,500 = 6,424.56/x
  3. Step 3: Cross multiply
    9,781.20x = 13,500 × 6,424.56
  4. Step 4: Simplify right side
    9,781.20x = 86,731,560
  5. Step 5: Solve for x
    x = 86,731,560/9,781.20
  6. Step 6: Final answer
    x = 8,867.17

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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.