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Finding the Fourth Proportional to 6,776.19, 10,174.61 and 6,442.07

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Solution

The fourth proportional to 6,776.19, 10,174.61 and 6,442.07 is: 9,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.19 : 10,174.61 = 6,442.07 : x
  2. Step 2: Convert to fraction form
    6,776.19/10,174.61 = 6,442.07/x
  3. Step 3: Cross multiply
    6,776.19x = 10,174.61 × 6,442.07
  4. Step 4: Simplify right side
    6,776.19x = 65,545,515.07
  5. Step 5: Solve for x
    x = 65,545,515.07/6,776.19
  6. Step 6: Final answer
    x = 9,672.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.