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Finding the Fourth Proportional to 6,438.95, 9,659.52 and 1,995.60

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Solution

The fourth proportional to 6,438.95, 9,659.52 and 1,995.60 is: 2,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.95 : 9,659.52 = 1,995.60 : x
  2. Step 2: Convert to fraction form
    6,438.95/9,659.52 = 1,995.60/x
  3. Step 3: Cross multiply
    6,438.95x = 9,659.52 × 1,995.60
  4. Step 4: Simplify right side
    6,438.95x = 19,276,528.13
  5. Step 5: Solve for x
    x = 19,276,528.13/6,438.95
  6. Step 6: Final answer
    x = 2,993.74

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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.