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Finding the Fourth Proportional to 9,436.96, 14,151.12 and 2,860.84

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Solution

The fourth proportional to 9,436.96, 14,151.12 and 2,860.84 is: 4,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.96 : 14,151.12 = 2,860.84 : x
  2. Step 2: Convert to fraction form
    9,436.96/14,151.12 = 2,860.84/x
  3. Step 3: Cross multiply
    9,436.96x = 14,151.12 × 2,860.84
  4. Step 4: Simplify right side
    9,436.96x = 40,484,090.14
  5. Step 5: Solve for x
    x = 40,484,090.14/9,436.96
  6. Step 6: Final answer
    x = 4,289.95

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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.