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Finding the Fourth Proportional to 9,938.86, 13,717.32 and 5,749.54

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Solution

The fourth proportional to 9,938.86, 13,717.32 and 5,749.54 is: 7,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.86 : 13,717.32 = 5,749.54 : x
  2. Step 2: Convert to fraction form
    9,938.86/13,717.32 = 5,749.54/x
  3. Step 3: Cross multiply
    9,938.86x = 13,717.32 × 5,749.54
  4. Step 4: Simplify right side
    9,938.86x = 78,868,280.03
  5. Step 5: Solve for x
    x = 78,868,280.03/9,938.86
  6. Step 6: Final answer
    x = 7,935.34

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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.