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Finding the Fourth Proportional to 9,238.35, 13,854.99 and 3,314.14

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Solution

The fourth proportional to 9,238.35, 13,854.99 and 3,314.14 is: 4,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.35 : 13,854.99 = 3,314.14 : x
  2. Step 2: Convert to fraction form
    9,238.35/13,854.99 = 3,314.14/x
  3. Step 3: Cross multiply
    9,238.35x = 13,854.99 × 3,314.14
  4. Step 4: Simplify right side
    9,238.35x = 45,917,307.28
  5. Step 5: Solve for x
    x = 45,917,307.28/9,238.35
  6. Step 6: Final answer
    x = 4,970.29

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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.