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Finding the Fourth Proportional to 9,219.15, 12,718.80 and 5,676.21

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Solution

The fourth proportional to 9,219.15, 12,718.80 and 5,676.21 is: 7,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.15 : 12,718.80 = 5,676.21 : x
  2. Step 2: Convert to fraction form
    9,219.15/12,718.80 = 5,676.21/x
  3. Step 3: Cross multiply
    9,219.15x = 12,718.80 × 5,676.21
  4. Step 4: Simplify right side
    9,219.15x = 72,194,579.75
  5. Step 5: Solve for x
    x = 72,194,579.75/9,219.15
  6. Step 6: Final answer
    x = 7,830.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.