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Finding the Fourth Proportional to 9,115.74, 13,675.74 and 2,876.37

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Solution

The fourth proportional to 9,115.74, 13,675.74 and 2,876.37 is: 4,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.74 : 13,675.74 = 2,876.37 : x
  2. Step 2: Convert to fraction form
    9,115.74/13,675.74 = 2,876.37/x
  3. Step 3: Cross multiply
    9,115.74x = 13,675.74 × 2,876.37
  4. Step 4: Simplify right side
    9,115.74x = 39,336,488.26
  5. Step 5: Solve for x
    x = 39,336,488.26/9,115.74
  6. Step 6: Final answer
    x = 4,315.23

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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.