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Finding the Fourth Proportional to 6,307.80, 9,459.24 and 2,410.08

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Solution

The fourth proportional to 6,307.80, 9,459.24 and 2,410.08 is: 3,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.80 : 9,459.24 = 2,410.08 : x
  2. Step 2: Convert to fraction form
    6,307.80/9,459.24 = 2,410.08/x
  3. Step 3: Cross multiply
    6,307.80x = 9,459.24 × 2,410.08
  4. Step 4: Simplify right side
    6,307.80x = 22,797,525.14
  5. Step 5: Solve for x
    x = 22,797,525.14/6,307.80
  6. Step 6: Final answer
    x = 3,614.18

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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.