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Finding the Fourth Proportional to 9,912.16, 13,678.92 and 5,435.84

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Solution

The fourth proportional to 9,912.16, 13,678.92 and 5,435.84 is: 7,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.16 : 13,678.92 = 5,435.84 : x
  2. Step 2: Convert to fraction form
    9,912.16/13,678.92 = 5,435.84/x
  3. Step 3: Cross multiply
    9,912.16x = 13,678.92 × 5,435.84
  4. Step 4: Simplify right side
    9,912.16x = 74,356,420.49
  5. Step 5: Solve for x
    x = 74,356,420.49/9,912.16
  6. Step 6: Final answer
    x = 7,501.54

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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.