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Finding the Fourth Proportional to 9,524.80, 14,288.82 and 2,949.40

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Solution

The fourth proportional to 9,524.80, 14,288.82 and 2,949.40 is: 4,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.80 : 14,288.82 = 2,949.40 : x
  2. Step 2: Convert to fraction form
    9,524.80/14,288.82 = 2,949.40/x
  3. Step 3: Cross multiply
    9,524.80x = 14,288.82 × 2,949.40
  4. Step 4: Simplify right side
    9,524.80x = 42,143,445.71
  5. Step 5: Solve for x
    x = 42,143,445.71/9,524.80
  6. Step 6: Final answer
    x = 4,424.60

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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.