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Finding the Fourth Proportional to 9,679.68, 13,356.99 and 5,701.77

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Solution

The fourth proportional to 9,679.68, 13,356.99 and 5,701.77 is: 7,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.68 : 13,356.99 = 5,701.77 : x
  2. Step 2: Convert to fraction form
    9,679.68/13,356.99 = 5,701.77/x
  3. Step 3: Cross multiply
    9,679.68x = 13,356.99 × 5,701.77
  4. Step 4: Simplify right side
    9,679.68x = 76,158,484.87
  5. Step 5: Solve for x
    x = 76,158,484.87/9,679.68
  6. Step 6: Final answer
    x = 7,867.87

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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.