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Finding the Fourth Proportional to 9,717.87, 14,575.83 and 3,477.63

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Solution

The fourth proportional to 9,717.87, 14,575.83 and 3,477.63 is: 5,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.87 : 14,575.83 = 3,477.63 : x
  2. Step 2: Convert to fraction form
    9,717.87/14,575.83 = 3,477.63/x
  3. Step 3: Cross multiply
    9,717.87x = 14,575.83 × 3,477.63
  4. Step 4: Simplify right side
    9,717.87x = 50,689,343.68
  5. Step 5: Solve for x
    x = 50,689,343.68/9,717.87
  6. Step 6: Final answer
    x = 5,216.10

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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.