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Finding the Fourth Proportional to 9,823.82, 14,737.14 and 3,248.54

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Solution

The fourth proportional to 9,823.82, 14,737.14 and 3,248.54 is: 4,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.82 : 14,737.14 = 3,248.54 : x
  2. Step 2: Convert to fraction form
    9,823.82/14,737.14 = 3,248.54/x
  3. Step 3: Cross multiply
    9,823.82x = 14,737.14 × 3,248.54
  4. Step 4: Simplify right side
    9,823.82x = 47,874,170.35
  5. Step 5: Solve for x
    x = 47,874,170.35/9,823.82
  6. Step 6: Final answer
    x = 4,873.28

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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.