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Finding the Fourth Proportional to 6,499.53, 8,969.34 and 3,515.34

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Solution

The fourth proportional to 6,499.53, 8,969.34 and 3,515.34 is: 4,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.53 : 8,969.34 = 3,515.34 : x
  2. Step 2: Convert to fraction form
    6,499.53/8,969.34 = 3,515.34/x
  3. Step 3: Cross multiply
    6,499.53x = 8,969.34 × 3,515.34
  4. Step 4: Simplify right side
    6,499.53x = 31,530,279.68
  5. Step 5: Solve for x
    x = 31,530,279.68/6,499.53
  6. Step 6: Final answer
    x = 4,851.16

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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.