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Finding the Fourth Proportional to 6,749.32, 9,314.08 and 3,765.32

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Solution

The fourth proportional to 6,749.32, 9,314.08 and 3,765.32 is: 5,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.32 : 9,314.08 = 3,765.32 : x
  2. Step 2: Convert to fraction form
    6,749.32/9,314.08 = 3,765.32/x
  3. Step 3: Cross multiply
    6,749.32x = 9,314.08 × 3,765.32
  4. Step 4: Simplify right side
    6,749.32x = 35,070,491.71
  5. Step 5: Solve for x
    x = 35,070,491.71/6,749.32
  6. Step 6: Final answer
    x = 5,196.15

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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.