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Finding the Fourth Proportional to 9,710.68, 13,399.86 and 5,518.12

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Solution

The fourth proportional to 9,710.68, 13,399.86 and 5,518.12 is: 7,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.68 : 13,399.86 = 5,518.12 : x
  2. Step 2: Convert to fraction form
    9,710.68/13,399.86 = 5,518.12/x
  3. Step 3: Cross multiply
    9,710.68x = 13,399.86 × 5,518.12
  4. Step 4: Simplify right side
    9,710.68x = 73,942,035.46
  5. Step 5: Solve for x
    x = 73,942,035.46/9,710.68
  6. Step 6: Final answer
    x = 7,614.51

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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.