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Finding the Fourth Proportional to 9,209.32, 12,709.86 and 5,230.44

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Solution

The fourth proportional to 9,209.32, 12,709.86 and 5,230.44 is: 7,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.32 : 12,709.86 = 5,230.44 : x
  2. Step 2: Convert to fraction form
    9,209.32/12,709.86 = 5,230.44/x
  3. Step 3: Cross multiply
    9,209.32x = 12,709.86 × 5,230.44
  4. Step 4: Simplify right side
    9,209.32x = 66,478,160.14
  5. Step 5: Solve for x
    x = 66,478,160.14/9,209.32
  6. Step 6: Final answer
    x = 7,218.57

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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.