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Finding the Fourth Proportional to 6,774, 9,348.48 and 3,980.40

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Solution

The fourth proportional to 6,774, 9,348.48 and 3,980.40 is: 5,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774 : 9,348.48 = 3,980.40 : x
  2. Step 2: Convert to fraction form
    6,774/9,348.48 = 3,980.40/x
  3. Step 3: Cross multiply
    6,774x = 9,348.48 × 3,980.40
  4. Step 4: Simplify right side
    6,774x = 37,210,689.79
  5. Step 5: Solve for x
    x = 37,210,689.79/6,774
  6. Step 6: Final answer
    x = 5,493.16

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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.