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Finding the Fourth Proportional to 9,016.56, 12,456 and 7,444.08

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Solution

The fourth proportional to 9,016.56, 12,456 and 7,444.08 is: 10,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.56 : 12,456 = 7,444.08 : x
  2. Step 2: Convert to fraction form
    9,016.56/12,456 = 7,444.08/x
  3. Step 3: Cross multiply
    9,016.56x = 12,456 × 7,444.08
  4. Step 4: Simplify right side
    9,016.56x = 92,723,460.48
  5. Step 5: Solve for x
    x = 92,723,460.48/9,016.56
  6. Step 6: Final answer
    x = 10,283.68

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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.