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Finding the Fourth Proportional to 9,885.84, 14,824.36 and 3,725.52

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Solution

The fourth proportional to 9,885.84, 14,824.36 and 3,725.52 is: 5,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 14,824.36 = 3,725.52 : x
  2. Step 2: Convert to fraction form
    9,885.84/14,824.36 = 3,725.52/x
  3. Step 3: Cross multiply
    9,885.84x = 14,824.36 × 3,725.52
  4. Step 4: Simplify right side
    9,885.84x = 55,228,449.67
  5. Step 5: Solve for x
    x = 55,228,449.67/9,885.84
  6. Step 6: Final answer
    x = 5,586.62

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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.