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Finding the Fourth Proportional to 9,860.66, 14,793.34 and 3,286.90

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Solution

The fourth proportional to 9,860.66, 14,793.34 and 3,286.90 is: 4,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.66 : 14,793.34 = 3,286.90 : x
  2. Step 2: Convert to fraction form
    9,860.66/14,793.34 = 3,286.90/x
  3. Step 3: Cross multiply
    9,860.66x = 14,793.34 × 3,286.90
  4. Step 4: Simplify right side
    9,860.66x = 48,624,212.81
  5. Step 5: Solve for x
    x = 48,624,212.81/9,860.66
  6. Step 6: Final answer
    x = 4,931.13

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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.