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Finding the Fourth Proportional to 9,433.68, 14,142.84 and 5,778

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Solution

The fourth proportional to 9,433.68, 14,142.84 and 5,778 is: 8,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.68 : 14,142.84 = 5,778 : x
  2. Step 2: Convert to fraction form
    9,433.68/14,142.84 = 5,778/x
  3. Step 3: Cross multiply
    9,433.68x = 14,142.84 × 5,778
  4. Step 4: Simplify right side
    9,433.68x = 81,717,329.52
  5. Step 5: Solve for x
    x = 81,717,329.52/9,433.68
  6. Step 6: Final answer
    x = 8,662.30

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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.