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Finding the Fourth Proportional to 9,184.92, 12,675.45 and 5,205.90

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Solution

The fourth proportional to 9,184.92, 12,675.45 and 5,205.90 is: 7,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.92 : 12,675.45 = 5,205.90 : x
  2. Step 2: Convert to fraction form
    9,184.92/12,675.45 = 5,205.90/x
  3. Step 3: Cross multiply
    9,184.92x = 12,675.45 × 5,205.90
  4. Step 4: Simplify right side
    9,184.92x = 65,987,125.16
  5. Step 5: Solve for x
    x = 65,987,125.16/9,184.92
  6. Step 6: Final answer
    x = 7,184.29

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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.