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Finding the Fourth Proportional to 9,232.41, 12,740.73 and 5,697.67

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Solution

The fourth proportional to 9,232.41, 12,740.73 and 5,697.67 is: 7,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.41 : 12,740.73 = 5,697.67 : x
  2. Step 2: Convert to fraction form
    9,232.41/12,740.73 = 5,697.67/x
  3. Step 3: Cross multiply
    9,232.41x = 12,740.73 × 5,697.67
  4. Step 4: Simplify right side
    9,232.41x = 72,592,475.10
  5. Step 5: Solve for x
    x = 72,592,475.10/9,232.41
  6. Step 6: Final answer
    x = 7,862.79

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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.