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Finding the Fourth Proportional to 6,673.60, 9,209.52 and 3,689.44

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Solution

The fourth proportional to 6,673.60, 9,209.52 and 3,689.44 is: 5,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.60 : 9,209.52 = 3,689.44 : x
  2. Step 2: Convert to fraction form
    6,673.60/9,209.52 = 3,689.44/x
  3. Step 3: Cross multiply
    6,673.60x = 9,209.52 × 3,689.44
  4. Step 4: Simplify right side
    6,673.60x = 33,977,971.47
  5. Step 5: Solve for x
    x = 33,977,971.47/6,673.60
  6. Step 6: Final answer
    x = 5,091.40

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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.