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Finding the Fourth Proportional to 6,774.10, 9,347.97 and 3,707.93

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Solution

The fourth proportional to 6,774.10, 9,347.97 and 3,707.93 is: 5,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.10 : 9,347.97 = 3,707.93 : x
  2. Step 2: Convert to fraction form
    6,774.10/9,347.97 = 3,707.93/x
  3. Step 3: Cross multiply
    6,774.10x = 9,347.97 × 3,707.93
  4. Step 4: Simplify right side
    6,774.10x = 34,661,603.09
  5. Step 5: Solve for x
    x = 34,661,603.09/6,774.10
  6. Step 6: Final answer
    x = 5,116.79

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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.