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Finding the Fourth Proportional to 9,916, 13,684 and 5,439.76

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Solution

The fourth proportional to 9,916, 13,684 and 5,439.76 is: 7,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916 : 13,684 = 5,439.76 : x
  2. Step 2: Convert to fraction form
    9,916/13,684 = 5,439.76/x
  3. Step 3: Cross multiply
    9,916x = 13,684 × 5,439.76
  4. Step 4: Simplify right side
    9,916x = 74,437,675.84
  5. Step 5: Solve for x
    x = 74,437,675.84/9,916
  6. Step 6: Final answer
    x = 7,506.82

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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.