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Finding the Fourth Proportional to 9,314.46, 13,952.52 and 4,922.64

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Solution

The fourth proportional to 9,314.46, 13,952.52 and 4,922.64 is: 7,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.46 : 13,952.52 = 4,922.64 : x
  2. Step 2: Convert to fraction form
    9,314.46/13,952.52 = 4,922.64/x
  3. Step 3: Cross multiply
    9,314.46x = 13,952.52 × 4,922.64
  4. Step 4: Simplify right side
    9,314.46x = 68,683,233.05
  5. Step 5: Solve for x
    x = 68,683,233.05/9,314.46
  6. Step 6: Final answer
    x = 7,373.83

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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.