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Finding the Fourth Proportional to 9,717.71, 14,577.77 and 3,478.39

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Solution

The fourth proportional to 9,717.71, 14,577.77 and 3,478.39 is: 5,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.71 : 14,577.77 = 3,478.39 : x
  2. Step 2: Convert to fraction form
    9,717.71/14,577.77 = 3,478.39/x
  3. Step 3: Cross multiply
    9,717.71x = 14,577.77 × 3,478.39
  4. Step 4: Simplify right side
    9,717.71x = 50,707,115.55
  5. Step 5: Solve for x
    x = 50,707,115.55/9,717.71
  6. Step 6: Final answer
    x = 5,218.01

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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.