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Finding the Fourth Proportional to 9,126.65, 12,594.33 and 5,147.75

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Solution

The fourth proportional to 9,126.65, 12,594.33 and 5,147.75 is: 7,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.65 : 12,594.33 = 5,147.75 : x
  2. Step 2: Convert to fraction form
    9,126.65/12,594.33 = 5,147.75/x
  3. Step 3: Cross multiply
    9,126.65x = 12,594.33 × 5,147.75
  4. Step 4: Simplify right side
    9,126.65x = 64,832,462.26
  5. Step 5: Solve for x
    x = 64,832,462.26/9,126.65
  6. Step 6: Final answer
    x = 7,103.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.