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Finding the Fourth Proportional to 9,197.38, 12,688.27 and 7,069.11

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Solution

The fourth proportional to 9,197.38, 12,688.27 and 7,069.11 is: 9,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.38 : 12,688.27 = 7,069.11 : x
  2. Step 2: Convert to fraction form
    9,197.38/12,688.27 = 7,069.11/x
  3. Step 3: Cross multiply
    9,197.38x = 12,688.27 × 7,069.11
  4. Step 4: Simplify right side
    9,197.38x = 89,694,776.34
  5. Step 5: Solve for x
    x = 89,694,776.34/9,197.38
  6. Step 6: Final answer
    x = 9,752.21

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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.