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Finding the Fourth Proportional to 9,230.84, 13,844.28 and 2,655.80

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Solution

The fourth proportional to 9,230.84, 13,844.28 and 2,655.80 is: 3,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.84 : 13,844.28 = 2,655.80 : x
  2. Step 2: Convert to fraction form
    9,230.84/13,844.28 = 2,655.80/x
  3. Step 3: Cross multiply
    9,230.84x = 13,844.28 × 2,655.80
  4. Step 4: Simplify right side
    9,230.84x = 36,767,638.82
  5. Step 5: Solve for x
    x = 36,767,638.82/9,230.84
  6. Step 6: Final answer
    x = 3,983.13

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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.