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Finding the Fourth Proportional to 9,232.56, 12,740.84 and 5,040.80

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Solution

The fourth proportional to 9,232.56, 12,740.84 and 5,040.80 is: 6,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.56 : 12,740.84 = 5,040.80 : x
  2. Step 2: Convert to fraction form
    9,232.56/12,740.84 = 5,040.80/x
  3. Step 3: Cross multiply
    9,232.56x = 12,740.84 × 5,040.80
  4. Step 4: Simplify right side
    9,232.56x = 64,224,026.27
  5. Step 5: Solve for x
    x = 64,224,026.27/9,232.56
  6. Step 6: Final answer
    x = 6,956.25

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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.