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Finding the Fourth Proportional to 9,233.32, 12,755.46 and 7,989.16

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Solution

The fourth proportional to 9,233.32, 12,755.46 and 7,989.16 is: 11,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.32 : 12,755.46 = 7,989.16 : x
  2. Step 2: Convert to fraction form
    9,233.32/12,755.46 = 7,989.16/x
  3. Step 3: Cross multiply
    9,233.32x = 12,755.46 × 7,989.16
  4. Step 4: Simplify right side
    9,233.32x = 101,905,410.81
  5. Step 5: Solve for x
    x = 101,905,410.81/9,233.32
  6. Step 6: Final answer
    x = 11,036.70

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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.