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Finding the Fourth Proportional to 9,199.50, 12,696.75 and 5,475.66

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Solution

The fourth proportional to 9,199.50, 12,696.75 and 5,475.66 is: 7,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.50 : 12,696.75 = 5,475.66 : x
  2. Step 2: Convert to fraction form
    9,199.50/12,696.75 = 5,475.66/x
  3. Step 3: Cross multiply
    9,199.50x = 12,696.75 × 5,475.66
  4. Step 4: Simplify right side
    9,199.50x = 69,523,086.11
  5. Step 5: Solve for x
    x = 69,523,086.11/9,199.50
  6. Step 6: Final answer
    x = 7,557.27

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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.