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Finding the Fourth Proportional to 9,427.38, 13,010.93 and 5,448.52

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Solution

The fourth proportional to 9,427.38, 13,010.93 and 5,448.52 is: 7,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.38 : 13,010.93 = 5,448.52 : x
  2. Step 2: Convert to fraction form
    9,427.38/13,010.93 = 5,448.52/x
  3. Step 3: Cross multiply
    9,427.38x = 13,010.93 × 5,448.52
  4. Step 4: Simplify right side
    9,427.38x = 70,890,285.08
  5. Step 5: Solve for x
    x = 70,890,285.08/9,427.38
  6. Step 6: Final answer
    x = 7,519.62

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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.