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Finding the Fourth Proportional to 9,242.82, 13,862.86 and 3,398.06

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Solution

The fourth proportional to 9,242.82, 13,862.86 and 3,398.06 is: 5,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.82 : 13,862.86 = 3,398.06 : x
  2. Step 2: Convert to fraction form
    9,242.82/13,862.86 = 3,398.06/x
  3. Step 3: Cross multiply
    9,242.82x = 13,862.86 × 3,398.06
  4. Step 4: Simplify right side
    9,242.82x = 47,106,856.21
  5. Step 5: Solve for x
    x = 47,106,856.21/9,242.82
  6. Step 6: Final answer
    x = 5,096.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.