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Finding the Fourth Proportional to 9,049.93, 12,487.97 and 5,070.95

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Solution

The fourth proportional to 9,049.93, 12,487.97 and 5,070.95 is: 6,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.93 : 12,487.97 = 5,070.95 : x
  2. Step 2: Convert to fraction form
    9,049.93/12,487.97 = 5,070.95/x
  3. Step 3: Cross multiply
    9,049.93x = 12,487.97 × 5,070.95
  4. Step 4: Simplify right side
    9,049.93x = 63,325,938.78
  5. Step 5: Solve for x
    x = 63,325,938.78/9,049.93
  6. Step 6: Final answer
    x = 6,997.40

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Why These Related Problems?

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