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Finding the Fourth Proportional to 9,344.16, 14,016.24 and 3,188

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Solution

The fourth proportional to 9,344.16, 14,016.24 and 3,188 is: 4,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.16 : 14,016.24 = 3,188 : x
  2. Step 2: Convert to fraction form
    9,344.16/14,016.24 = 3,188/x
  3. Step 3: Cross multiply
    9,344.16x = 14,016.24 × 3,188
  4. Step 4: Simplify right side
    9,344.16x = 44,683,773.12
  5. Step 5: Solve for x
    x = 44,683,773.12/9,344.16
  6. Step 6: Final answer
    x = 4,782

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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.