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Finding the Fourth Proportional to 9,686.49, 13,362.27 and 7,998.05

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Solution

The fourth proportional to 9,686.49, 13,362.27 and 7,998.05 is: 11,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.49 : 13,362.27 = 7,998.05 : x
  2. Step 2: Convert to fraction form
    9,686.49/13,362.27 = 7,998.05/x
  3. Step 3: Cross multiply
    9,686.49x = 13,362.27 × 7,998.05
  4. Step 4: Simplify right side
    9,686.49x = 106,872,056.76
  5. Step 5: Solve for x
    x = 106,872,056.76/9,686.49
  6. Step 6: Final answer
    x = 11,033.10

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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.