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Finding the Fourth Proportional to 9,916.71, 13,684.37 and 5,440.37

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Solution

The fourth proportional to 9,916.71, 13,684.37 and 5,440.37 is: 7,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.71 : 13,684.37 = 5,440.37 : x
  2. Step 2: Convert to fraction form
    9,916.71/13,684.37 = 5,440.37/x
  3. Step 3: Cross multiply
    9,916.71x = 13,684.37 × 5,440.37
  4. Step 4: Simplify right side
    9,916.71x = 74,447,940.39
  5. Step 5: Solve for x
    x = 74,447,940.39/9,916.71
  6. Step 6: Final answer
    x = 7,507.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.