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Finding the Fourth Proportional to 9,016.32, 13,513.44 and 5,124

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Solution

The fourth proportional to 9,016.32, 13,513.44 and 5,124 is: 7,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.32 : 13,513.44 = 5,124 : x
  2. Step 2: Convert to fraction form
    9,016.32/13,513.44 = 5,124/x
  3. Step 3: Cross multiply
    9,016.32x = 13,513.44 × 5,124
  4. Step 4: Simplify right side
    9,016.32x = 69,242,866.56
  5. Step 5: Solve for x
    x = 69,242,866.56/9,016.32
  6. Step 6: Final answer
    x = 7,679.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.