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Finding the Fourth Proportional to 9,928.35, 13,697.19 and 5,949.81

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Solution

The fourth proportional to 9,928.35, 13,697.19 and 5,949.81 is: 8,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.35 : 13,697.19 = 5,949.81 : x
  2. Step 2: Convert to fraction form
    9,928.35/13,697.19 = 5,949.81/x
  3. Step 3: Cross multiply
    9,928.35x = 13,697.19 × 5,949.81
  4. Step 4: Simplify right side
    9,928.35x = 81,495,678.03
  5. Step 5: Solve for x
    x = 81,495,678.03/9,928.35
  6. Step 6: Final answer
    x = 8,208.38

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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.