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Finding the Fourth Proportional to 9,288.78, 12,824.10 and 6,107.10

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Solution

The fourth proportional to 9,288.78, 12,824.10 and 6,107.10 is: 8,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.78 : 12,824.10 = 6,107.10 : x
  2. Step 2: Convert to fraction form
    9,288.78/12,824.10 = 6,107.10/x
  3. Step 3: Cross multiply
    9,288.78x = 12,824.10 × 6,107.10
  4. Step 4: Simplify right side
    9,288.78x = 78,318,061.11
  5. Step 5: Solve for x
    x = 78,318,061.11/9,288.78
  6. Step 6: Final answer
    x = 8,431.47

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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.