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Finding the Fourth Proportional to 6,335.13, 9,502.62 and 2,118.70

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Solution

The fourth proportional to 6,335.13, 9,502.62 and 2,118.70 is: 3,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.13 : 9,502.62 = 2,118.70 : x
  2. Step 2: Convert to fraction form
    6,335.13/9,502.62 = 2,118.70/x
  3. Step 3: Cross multiply
    6,335.13x = 9,502.62 × 2,118.70
  4. Step 4: Simplify right side
    6,335.13x = 20,133,200.99
  5. Step 5: Solve for x
    x = 20,133,200.99/6,335.13
  6. Step 6: Final answer
    x = 3,178.02

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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.