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Finding the Fourth Proportional to 9,338.42, 12,891.76 and 6,153.81

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Solution

The fourth proportional to 9,338.42, 12,891.76 and 6,153.81 is: 8,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.42 : 12,891.76 = 6,153.81 : x
  2. Step 2: Convert to fraction form
    9,338.42/12,891.76 = 6,153.81/x
  3. Step 3: Cross multiply
    9,338.42x = 12,891.76 × 6,153.81
  4. Step 4: Simplify right side
    9,338.42x = 79,333,377.88
  5. Step 5: Solve for x
    x = 79,333,377.88/9,338.42
  6. Step 6: Final answer
    x = 8,495.37

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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.