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Finding the Fourth Proportional to 9,936.30, 13,711.42 and 5,460.24

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Solution

The fourth proportional to 9,936.30, 13,711.42 and 5,460.24 is: 7,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.30 : 13,711.42 = 5,460.24 : x
  2. Step 2: Convert to fraction form
    9,936.30/13,711.42 = 5,460.24/x
  3. Step 3: Cross multiply
    9,936.30x = 13,711.42 × 5,460.24
  4. Step 4: Simplify right side
    9,936.30x = 74,867,643.94
  5. Step 5: Solve for x
    x = 74,867,643.94/9,936.30
  6. Step 6: Final answer
    x = 7,534.76

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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.