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Finding the Fourth Proportional to 9,232.21, 12,740.44 and 5,040.46

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Solution

The fourth proportional to 9,232.21, 12,740.44 and 5,040.46 is: 6,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.21 : 12,740.44 = 5,040.46 : x
  2. Step 2: Convert to fraction form
    9,232.21/12,740.44 = 5,040.46/x
  3. Step 3: Cross multiply
    9,232.21x = 12,740.44 × 5,040.46
  4. Step 4: Simplify right side
    9,232.21x = 64,217,678.20
  5. Step 5: Solve for x
    x = 64,217,678.20/9,232.21
  6. Step 6: Final answer
    x = 6,955.83

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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.