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Finding the Fourth Proportional to 6,298.35, 9,441.36 and 2,346.71

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Solution

The fourth proportional to 6,298.35, 9,441.36 and 2,346.71 is: 3,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.35 : 9,441.36 = 2,346.71 : x
  2. Step 2: Convert to fraction form
    6,298.35/9,441.36 = 2,346.71/x
  3. Step 3: Cross multiply
    6,298.35x = 9,441.36 × 2,346.71
  4. Step 4: Simplify right side
    6,298.35x = 22,156,133.93
  5. Step 5: Solve for x
    x = 22,156,133.93/6,298.35
  6. Step 6: Final answer
    x = 3,517.77

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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.