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Finding the Fourth Proportional to 6,338.44, 9,461.93 and 5,355.40

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Solution

The fourth proportional to 6,338.44, 9,461.93 and 5,355.40 is: 7,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.44 : 9,461.93 = 5,355.40 : x
  2. Step 2: Convert to fraction form
    6,338.44/9,461.93 = 5,355.40/x
  3. Step 3: Cross multiply
    6,338.44x = 9,461.93 × 5,355.40
  4. Step 4: Simplify right side
    6,338.44x = 50,672,419.92
  5. Step 5: Solve for x
    x = 50,672,419.92/6,338.44
  6. Step 6: Final answer
    x = 7,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.