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Finding the Fourth Proportional to 9,912.12, 13,678.39 and 5,435.76

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Solution

The fourth proportional to 9,912.12, 13,678.39 and 5,435.76 is: 7,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.12 : 13,678.39 = 5,435.76 : x
  2. Step 2: Convert to fraction form
    9,912.12/13,678.39 = 5,435.76/x
  3. Step 3: Cross multiply
    9,912.12x = 13,678.39 × 5,435.76
  4. Step 4: Simplify right side
    9,912.12x = 74,352,441.66
  5. Step 5: Solve for x
    x = 74,352,441.66/9,912.12
  6. Step 6: Final answer
    x = 7,501.16

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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.