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Finding the Fourth Proportional to 9,724.84, 13,406.64 and 6,883.76

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Solution

The fourth proportional to 9,724.84, 13,406.64 and 6,883.76 is: 9,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.84 : 13,406.64 = 6,883.76 : x
  2. Step 2: Convert to fraction form
    9,724.84/13,406.64 = 6,883.76/x
  3. Step 3: Cross multiply
    9,724.84x = 13,406.64 × 6,883.76
  4. Step 4: Simplify right side
    9,724.84x = 92,288,092.17
  5. Step 5: Solve for x
    x = 92,288,092.17/9,724.84
  6. Step 6: Final answer
    x = 9,489.93

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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.