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Finding the Fourth Proportional to 9,219.29, 13,830.46 and 2,980.87

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Solution

The fourth proportional to 9,219.29, 13,830.46 and 2,980.87 is: 4,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.29 : 13,830.46 = 2,980.87 : x
  2. Step 2: Convert to fraction form
    9,219.29/13,830.46 = 2,980.87/x
  3. Step 3: Cross multiply
    9,219.29x = 13,830.46 × 2,980.87
  4. Step 4: Simplify right side
    9,219.29x = 41,226,761.27
  5. Step 5: Solve for x
    x = 41,226,761.27/9,219.29
  6. Step 6: Final answer
    x = 4,471.80

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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.