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Finding the Fourth Proportional to 9,913.41, 13,678.26 and 6,727.14

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Solution

The fourth proportional to 9,913.41, 13,678.26 and 6,727.14 is: 9,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.41 : 13,678.26 = 6,727.14 : x
  2. Step 2: Convert to fraction form
    9,913.41/13,678.26 = 6,727.14/x
  3. Step 3: Cross multiply
    9,913.41x = 13,678.26 × 6,727.14
  4. Step 4: Simplify right side
    9,913.41x = 92,015,569.98
  5. Step 5: Solve for x
    x = 92,015,569.98/9,913.41
  6. Step 6: Final answer
    x = 9,281.93

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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.