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Finding the Fourth Proportional to 9,203.14, 12,700.25 and 5,011.38

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Solution

The fourth proportional to 9,203.14, 12,700.25 and 5,011.38 is: 6,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.14 : 12,700.25 = 5,011.38 : x
  2. Step 2: Convert to fraction form
    9,203.14/12,700.25 = 5,011.38/x
  3. Step 3: Cross multiply
    9,203.14x = 12,700.25 × 5,011.38
  4. Step 4: Simplify right side
    9,203.14x = 63,645,778.85
  5. Step 5: Solve for x
    x = 63,645,778.85/9,203.14
  6. Step 6: Final answer
    x = 6,915.66

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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.