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Finding the Fourth Proportional to 9,876.78, 14,820.99 and 3,641.18

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Solution

The fourth proportional to 9,876.78, 14,820.99 and 3,641.18 is: 5,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.78 : 14,820.99 = 3,641.18 : x
  2. Step 2: Convert to fraction form
    9,876.78/14,820.99 = 3,641.18/x
  3. Step 3: Cross multiply
    9,876.78x = 14,820.99 × 3,641.18
  4. Step 4: Simplify right side
    9,876.78x = 53,965,892.37
  5. Step 5: Solve for x
    x = 53,965,892.37/9,876.78
  6. Step 6: Final answer
    x = 5,463.92

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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.