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Finding the Fourth Proportional to 9,379.52, 14,069.01 and 2,454.02

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Solution

The fourth proportional to 9,379.52, 14,069.01 and 2,454.02 is: 3,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.52 : 14,069.01 = 2,454.02 : x
  2. Step 2: Convert to fraction form
    9,379.52/14,069.01 = 2,454.02/x
  3. Step 3: Cross multiply
    9,379.52x = 14,069.01 × 2,454.02
  4. Step 4: Simplify right side
    9,379.52x = 34,525,631.92
  5. Step 5: Solve for x
    x = 34,525,631.92/9,379.52
  6. Step 6: Final answer
    x = 3,680.96

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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.