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Finding the Fourth Proportional to 9,201.38, 12,699.56 and 5,424.32

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Solution

The fourth proportional to 9,201.38, 12,699.56 and 5,424.32 is: 7,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.38 : 12,699.56 = 5,424.32 : x
  2. Step 2: Convert to fraction form
    9,201.38/12,699.56 = 5,424.32/x
  3. Step 3: Cross multiply
    9,201.38x = 12,699.56 × 5,424.32
  4. Step 4: Simplify right side
    9,201.38x = 68,886,522.61
  5. Step 5: Solve for x
    x = 68,886,522.61/9,201.38
  6. Step 6: Final answer
    x = 7,486.55

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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.