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Finding the Fourth Proportional to 9,243.81, 13,864.55 and 2,580.82

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Solution

The fourth proportional to 9,243.81, 13,864.55 and 2,580.82 is: 3,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.81 : 13,864.55 = 2,580.82 : x
  2. Step 2: Convert to fraction form
    9,243.81/13,864.55 = 2,580.82/x
  3. Step 3: Cross multiply
    9,243.81x = 13,864.55 × 2,580.82
  4. Step 4: Simplify right side
    9,243.81x = 35,781,860.37
  5. Step 5: Solve for x
    x = 35,781,860.37/9,243.81
  6. Step 6: Final answer
    x = 3,870.90

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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.