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Finding the Fourth Proportional to 9,243.32, 12,755.78 and 5,051.56

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Solution

The fourth proportional to 9,243.32, 12,755.78 and 5,051.56 is: 6,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.32 : 12,755.78 = 5,051.56 : x
  2. Step 2: Convert to fraction form
    9,243.32/12,755.78 = 5,051.56/x
  3. Step 3: Cross multiply
    9,243.32x = 12,755.78 × 5,051.56
  4. Step 4: Simplify right side
    9,243.32x = 64,436,588.02
  5. Step 5: Solve for x
    x = 64,436,588.02/9,243.32
  6. Step 6: Final answer
    x = 6,971.15

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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.