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Finding the Fourth Proportional to 6,890.02, 9,508.21 and 3,746.20

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Solution

The fourth proportional to 6,890.02, 9,508.21 and 3,746.20 is: 5,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.02 : 9,508.21 = 3,746.20 : x
  2. Step 2: Convert to fraction form
    6,890.02/9,508.21 = 3,746.20/x
  3. Step 3: Cross multiply
    6,890.02x = 9,508.21 × 3,746.20
  4. Step 4: Simplify right side
    6,890.02x = 35,619,656.30
  5. Step 5: Solve for x
    x = 35,619,656.30/6,890.02
  6. Step 6: Final answer
    x = 5,169.75

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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.