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Finding the Fourth Proportional to 9,912.36, 13,678.98 and 5,436.12

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Solution

The fourth proportional to 9,912.36, 13,678.98 and 5,436.12 is: 7,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.36 : 13,678.98 = 5,436.12 : x
  2. Step 2: Convert to fraction form
    9,912.36/13,678.98 = 5,436.12/x
  3. Step 3: Cross multiply
    9,912.36x = 13,678.98 × 5,436.12
  4. Step 4: Simplify right side
    9,912.36x = 74,360,576.76
  5. Step 5: Solve for x
    x = 74,360,576.76/9,912.36
  6. Step 6: Final answer
    x = 7,501.80

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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.