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Finding the Fourth Proportional to 9,356.74, 12,912.11 and 5,377.75

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Solution

The fourth proportional to 9,356.74, 12,912.11 and 5,377.75 is: 7,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.74 : 12,912.11 = 5,377.75 : x
  2. Step 2: Convert to fraction form
    9,356.74/12,912.11 = 5,377.75/x
  3. Step 3: Cross multiply
    9,356.74x = 12,912.11 × 5,377.75
  4. Step 4: Simplify right side
    9,356.74x = 69,438,040.38
  5. Step 5: Solve for x
    x = 69,438,040.38/9,356.74
  6. Step 6: Final answer
    x = 7,421.18

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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.