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Finding the Fourth Proportional to 9,260.28, 12,774.87 and 5,674.14

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Solution

The fourth proportional to 9,260.28, 12,774.87 and 5,674.14 is: 7,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.28 : 12,774.87 = 5,674.14 : x
  2. Step 2: Convert to fraction form
    9,260.28/12,774.87 = 5,674.14/x
  3. Step 3: Cross multiply
    9,260.28x = 12,774.87 × 5,674.14
  4. Step 4: Simplify right side
    9,260.28x = 72,486,400.86
  5. Step 5: Solve for x
    x = 72,486,400.86/9,260.28
  6. Step 6: Final answer
    x = 7,827.67

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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.