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Finding the Fourth Proportional to 9,473.06, 14,209.86 and 2,899.10

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Solution

The fourth proportional to 9,473.06, 14,209.86 and 2,899.10 is: 4,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.06 : 14,209.86 = 2,899.10 : x
  2. Step 2: Convert to fraction form
    9,473.06/14,209.86 = 2,899.10/x
  3. Step 3: Cross multiply
    9,473.06x = 14,209.86 × 2,899.10
  4. Step 4: Simplify right side
    9,473.06x = 41,195,805.13
  5. Step 5: Solve for x
    x = 41,195,805.13/9,473.06
  6. Step 6: Final answer
    x = 4,348.73

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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.