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Finding the Fourth Proportional to 9,822.60, 14,735.04 and 3,248.84

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Solution

The fourth proportional to 9,822.60, 14,735.04 and 3,248.84 is: 4,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.60 : 14,735.04 = 3,248.84 : x
  2. Step 2: Convert to fraction form
    9,822.60/14,735.04 = 3,248.84/x
  3. Step 3: Cross multiply
    9,822.60x = 14,735.04 × 3,248.84
  4. Step 4: Simplify right side
    9,822.60x = 47,871,713.68
  5. Step 5: Solve for x
    x = 47,871,713.68/9,822.60
  6. Step 6: Final answer
    x = 4,873.63

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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.