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Finding the Fourth Proportional to 6,530.36, 9,014.19 and 3,877.75

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Solution

The fourth proportional to 6,530.36, 9,014.19 and 3,877.75 is: 5,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.36 : 9,014.19 = 3,877.75 : x
  2. Step 2: Convert to fraction form
    6,530.36/9,014.19 = 3,877.75/x
  3. Step 3: Cross multiply
    6,530.36x = 9,014.19 × 3,877.75
  4. Step 4: Simplify right side
    6,530.36x = 34,954,743.11
  5. Step 5: Solve for x
    x = 34,954,743.11/6,530.36
  6. Step 6: Final answer
    x = 5,352.65

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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.