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Finding the Fourth Proportional to 9,373, 12,934.98 and 5,647.24

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Solution

The fourth proportional to 9,373, 12,934.98 and 5,647.24 is: 7,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373 : 12,934.98 = 5,647.24 : x
  2. Step 2: Convert to fraction form
    9,373/12,934.98 = 5,647.24/x
  3. Step 3: Cross multiply
    9,373x = 12,934.98 × 5,647.24
  4. Step 4: Simplify right side
    9,373x = 73,046,936.46
  5. Step 5: Solve for x
    x = 73,046,936.46/9,373
  6. Step 6: Final answer
    x = 7,793.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.