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Finding the Fourth Proportional to 9,494.56, 14,233.60 and 5,331.16

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Solution

The fourth proportional to 9,494.56, 14,233.60 and 5,331.16 is: 7,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.56 : 14,233.60 = 5,331.16 : x
  2. Step 2: Convert to fraction form
    9,494.56/14,233.60 = 5,331.16/x
  3. Step 3: Cross multiply
    9,494.56x = 14,233.60 × 5,331.16
  4. Step 4: Simplify right side
    9,494.56x = 75,881,598.98
  5. Step 5: Solve for x
    x = 75,881,598.98/9,494.56
  6. Step 6: Final answer
    x = 7,992.11

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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.