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Finding the Fourth Proportional to 6,749.39, 9,312.09 and 3,915.78

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Solution

The fourth proportional to 6,749.39, 9,312.09 and 3,915.78 is: 5,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.39 : 9,312.09 = 3,915.78 : x
  2. Step 2: Convert to fraction form
    6,749.39/9,312.09 = 3,915.78/x
  3. Step 3: Cross multiply
    6,749.39x = 9,312.09 × 3,915.78
  4. Step 4: Simplify right side
    6,749.39x = 36,464,095.78
  5. Step 5: Solve for x
    x = 36,464,095.78/6,749.39
  6. Step 6: Final answer
    x = 5,402.58

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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.