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Finding the Fourth Proportional to 9,454.38, 14,178.69 and 5,347.50

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Solution

The fourth proportional to 9,454.38, 14,178.69 and 5,347.50 is: 8,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.38 : 14,178.69 = 5,347.50 : x
  2. Step 2: Convert to fraction form
    9,454.38/14,178.69 = 5,347.50/x
  3. Step 3: Cross multiply
    9,454.38x = 14,178.69 × 5,347.50
  4. Step 4: Simplify right side
    9,454.38x = 75,820,544.78
  5. Step 5: Solve for x
    x = 75,820,544.78/9,454.38
  6. Step 6: Final answer
    x = 8,019.62

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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.