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Finding the Fourth Proportional to 9,873.77, 14,810.73 and 2,478.27

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Solution

The fourth proportional to 9,873.77, 14,810.73 and 2,478.27 is: 3,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.77 : 14,810.73 = 2,478.27 : x
  2. Step 2: Convert to fraction form
    9,873.77/14,810.73 = 2,478.27/x
  3. Step 3: Cross multiply
    9,873.77x = 14,810.73 × 2,478.27
  4. Step 4: Simplify right side
    9,873.77x = 36,704,913.78
  5. Step 5: Solve for x
    x = 36,704,913.78/9,873.77
  6. Step 6: Final answer
    x = 3,717.42

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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.