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Finding the Fourth Proportional to 6,734.39, 9,298.47 and 4,085.40

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Solution

The fourth proportional to 6,734.39, 9,298.47 and 4,085.40 is: 5,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.39 : 9,298.47 = 4,085.40 : x
  2. Step 2: Convert to fraction form
    6,734.39/9,298.47 = 4,085.40/x
  3. Step 3: Cross multiply
    6,734.39x = 9,298.47 × 4,085.40
  4. Step 4: Simplify right side
    6,734.39x = 37,987,969.34
  5. Step 5: Solve for x
    x = 37,987,969.34/6,734.39
  6. Step 6: Final answer
    x = 5,640.90

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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.