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Finding the Fourth Proportional to 6,506.34, 8,978.37 and 3,673.55

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Solution

The fourth proportional to 6,506.34, 8,978.37 and 3,673.55 is: 5,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.34 : 8,978.37 = 3,673.55 : x
  2. Step 2: Convert to fraction form
    6,506.34/8,978.37 = 3,673.55/x
  3. Step 3: Cross multiply
    6,506.34x = 8,978.37 × 3,673.55
  4. Step 4: Simplify right side
    6,506.34x = 32,982,446.22
  5. Step 5: Solve for x
    x = 32,982,446.22/6,506.34
  6. Step 6: Final answer
    x = 5,069.28

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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.