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Finding the Fourth Proportional to 9,242.29, 12,753.72 and 5,835.33

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Solution

The fourth proportional to 9,242.29, 12,753.72 and 5,835.33 is: 8,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.29 : 12,753.72 = 5,835.33 : x
  2. Step 2: Convert to fraction form
    9,242.29/12,753.72 = 5,835.33/x
  3. Step 3: Cross multiply
    9,242.29x = 12,753.72 × 5,835.33
  4. Step 4: Simplify right side
    9,242.29x = 74,422,164.93
  5. Step 5: Solve for x
    x = 74,422,164.93/9,242.29
  6. Step 6: Final answer
    x = 8,052.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.