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Finding the Fourth Proportional to 6,841.19, 9,437.50 and 4,322.09

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Solution

The fourth proportional to 6,841.19, 9,437.50 and 4,322.09 is: 5,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.19 : 9,437.50 = 4,322.09 : x
  2. Step 2: Convert to fraction form
    6,841.19/9,437.50 = 4,322.09/x
  3. Step 3: Cross multiply
    6,841.19x = 9,437.50 × 4,322.09
  4. Step 4: Simplify right side
    6,841.19x = 40,789,724.38
  5. Step 5: Solve for x
    x = 40,789,724.38/6,841.19
  6. Step 6: Final answer
    x = 5,962.37

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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.