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Finding the Fourth Proportional to 6,601.12, 9,894.71 and 2,438.46

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Solution

The fourth proportional to 6,601.12, 9,894.71 and 2,438.46 is: 3,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.12 : 9,894.71 = 2,438.46 : x
  2. Step 2: Convert to fraction form
    6,601.12/9,894.71 = 2,438.46/x
  3. Step 3: Cross multiply
    6,601.12x = 9,894.71 × 2,438.46
  4. Step 4: Simplify right side
    6,601.12x = 24,127,860.64
  5. Step 5: Solve for x
    x = 24,127,860.64/6,601.12
  6. Step 6: Final answer
    x = 3,655.12

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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.