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Finding the Fourth Proportional to 6,775.91, 9,351.61 and 4,123.16

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Solution

The fourth proportional to 6,775.91, 9,351.61 and 4,123.16 is: 5,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.91 : 9,351.61 = 4,123.16 : x
  2. Step 2: Convert to fraction form
    6,775.91/9,351.61 = 4,123.16/x
  3. Step 3: Cross multiply
    6,775.91x = 9,351.61 × 4,123.16
  4. Step 4: Simplify right side
    6,775.91x = 38,558,127.22
  5. Step 5: Solve for x
    x = 38,558,127.22/6,775.91
  6. Step 6: Final answer
    x = 5,690.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.