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Finding the Fourth Proportional to 9,438.96, 14,154.12 and 2,862.84

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Solution

The fourth proportional to 9,438.96, 14,154.12 and 2,862.84 is: 4,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.96 : 14,154.12 = 2,862.84 : x
  2. Step 2: Convert to fraction form
    9,438.96/14,154.12 = 2,862.84/x
  3. Step 3: Cross multiply
    9,438.96x = 14,154.12 × 2,862.84
  4. Step 4: Simplify right side
    9,438.96x = 40,520,980.90
  5. Step 5: Solve for x
    x = 40,520,980.90/9,438.96
  6. Step 6: Final answer
    x = 4,292.95

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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.