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Finding the Fourth Proportional to 6,890.36, 9,508.62 and 3,746.54

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Solution

The fourth proportional to 6,890.36, 9,508.62 and 3,746.54 is: 5,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.36 : 9,508.62 = 3,746.54 : x
  2. Step 2: Convert to fraction form
    6,890.36/9,508.62 = 3,746.54/x
  3. Step 3: Cross multiply
    6,890.36x = 9,508.62 × 3,746.54
  4. Step 4: Simplify right side
    6,890.36x = 35,624,448.95
  5. Step 5: Solve for x
    x = 35,624,448.95/6,890.36
  6. Step 6: Final answer
    x = 5,170.19

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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.