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Finding the Fourth Proportional to 9,916.34, 13,684.73 and 5,439.81

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Solution

The fourth proportional to 9,916.34, 13,684.73 and 5,439.81 is: 7,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.34 : 13,684.73 = 5,439.81 : x
  2. Step 2: Convert to fraction form
    9,916.34/13,684.73 = 5,439.81/x
  3. Step 3: Cross multiply
    9,916.34x = 13,684.73 × 5,439.81
  4. Step 4: Simplify right side
    9,916.34x = 74,442,355.22
  5. Step 5: Solve for x
    x = 74,442,355.22/9,916.34
  6. Step 6: Final answer
    x = 7,507.04

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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.