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Finding the Fourth Proportional to 9,138.86, 13,708.78 and 2,899.36

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Solution

The fourth proportional to 9,138.86, 13,708.78 and 2,899.36 is: 4,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.86 : 13,708.78 = 2,899.36 : x
  2. Step 2: Convert to fraction form
    9,138.86/13,708.78 = 2,899.36/x
  3. Step 3: Cross multiply
    9,138.86x = 13,708.78 × 2,899.36
  4. Step 4: Simplify right side
    9,138.86x = 39,746,765.69
  5. Step 5: Solve for x
    x = 39,746,765.69/9,138.86
  6. Step 6: Final answer
    x = 4,349.20

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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.