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Finding the Fourth Proportional to 6,357.95, 9,539.75 and 2,462.66

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Solution

The fourth proportional to 6,357.95, 9,539.75 and 2,462.66 is: 3,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.95 : 9,539.75 = 2,462.66 : x
  2. Step 2: Convert to fraction form
    6,357.95/9,539.75 = 2,462.66/x
  3. Step 3: Cross multiply
    6,357.95x = 9,539.75 × 2,462.66
  4. Step 4: Simplify right side
    6,357.95x = 23,493,119.19
  5. Step 5: Solve for x
    x = 23,493,119.19/6,357.95
  6. Step 6: Final answer
    x = 3,695.08

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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.