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Finding the Fourth Proportional to 9,912.32, 13,678.89 and 5,436.11

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Solution

The fourth proportional to 9,912.32, 13,678.89 and 5,436.11 is: 7,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.32 : 13,678.89 = 5,436.11 : x
  2. Step 2: Convert to fraction form
    9,912.32/13,678.89 = 5,436.11/x
  3. Step 3: Cross multiply
    9,912.32x = 13,678.89 × 5,436.11
  4. Step 4: Simplify right side
    9,912.32x = 74,359,882.32
  5. Step 5: Solve for x
    x = 74,359,882.32/9,912.32
  6. Step 6: Final answer
    x = 7,501.77

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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.