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Finding the Fourth Proportional to 9,278.69, 12,805.67 and 5,300.38

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Solution

The fourth proportional to 9,278.69, 12,805.67 and 5,300.38 is: 7,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.69 : 12,805.67 = 5,300.38 : x
  2. Step 2: Convert to fraction form
    9,278.69/12,805.67 = 5,300.38/x
  3. Step 3: Cross multiply
    9,278.69x = 12,805.67 × 5,300.38
  4. Step 4: Simplify right side
    9,278.69x = 67,874,917.15
  5. Step 5: Solve for x
    x = 67,874,917.15/9,278.69
  6. Step 6: Final answer
    x = 7,315.14

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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.