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Finding the Fourth Proportional to 9,238.16, 13,864.44 and 3,400.40

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Solution

The fourth proportional to 9,238.16, 13,864.44 and 3,400.40 is: 5,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.16 : 13,864.44 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    9,238.16/13,864.44 = 3,400.40/x
  3. Step 3: Cross multiply
    9,238.16x = 13,864.44 × 3,400.40
  4. Step 4: Simplify right side
    9,238.16x = 47,144,641.78
  5. Step 5: Solve for x
    x = 47,144,641.78/9,238.16
  6. Step 6: Final answer
    x = 5,103.25

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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.