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Finding the Fourth Proportional to 6,499.12, 9,739.12 and 3,537.11

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Solution

The fourth proportional to 6,499.12, 9,739.12 and 3,537.11 is: 5,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.12 : 9,739.12 = 3,537.11 : x
  2. Step 2: Convert to fraction form
    6,499.12/9,739.12 = 3,537.11/x
  3. Step 3: Cross multiply
    6,499.12x = 9,739.12 × 3,537.11
  4. Step 4: Simplify right side
    6,499.12x = 34,448,338.74
  5. Step 5: Solve for x
    x = 34,448,338.74/6,499.12
  6. Step 6: Final answer
    x = 5,300.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.