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Finding the Fourth Proportional to 9,487.66, 14,233.16 and 3,246.20

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Solution

The fourth proportional to 9,487.66, 14,233.16 and 3,246.20 is: 4,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.66 : 14,233.16 = 3,246.20 : x
  2. Step 2: Convert to fraction form
    9,487.66/14,233.16 = 3,246.20/x
  3. Step 3: Cross multiply
    9,487.66x = 14,233.16 × 3,246.20
  4. Step 4: Simplify right side
    9,487.66x = 46,203,683.99
  5. Step 5: Solve for x
    x = 46,203,683.99/9,487.66
  6. Step 6: Final answer
    x = 4,869.87

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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.