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Finding the Fourth Proportional to 9,870.96, 13,618.62 and 5,892.78

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Solution

The fourth proportional to 9,870.96, 13,618.62 and 5,892.78 is: 8,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.96 : 13,618.62 = 5,892.78 : x
  2. Step 2: Convert to fraction form
    9,870.96/13,618.62 = 5,892.78/x
  3. Step 3: Cross multiply
    9,870.96x = 13,618.62 × 5,892.78
  4. Step 4: Simplify right side
    9,870.96x = 80,251,531.56
  5. Step 5: Solve for x
    x = 80,251,531.56/9,870.96
  6. Step 6: Final answer
    x = 8,130.06

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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.