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Finding the Fourth Proportional to 6,346.40, 9,518.14 and 2,398.08

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Solution

The fourth proportional to 6,346.40, 9,518.14 and 2,398.08 is: 3,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.40 : 9,518.14 = 2,398.08 : x
  2. Step 2: Convert to fraction form
    6,346.40/9,518.14 = 2,398.08/x
  3. Step 3: Cross multiply
    6,346.40x = 9,518.14 × 2,398.08
  4. Step 4: Simplify right side
    6,346.40x = 22,825,249.18
  5. Step 5: Solve for x
    x = 22,825,249.18/6,346.40
  6. Step 6: Final answer
    x = 3,596.57

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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.