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Finding the Fourth Proportional to 6,111.94, 9,174.74 and 5,710.42

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Solution

The fourth proportional to 6,111.94, 9,174.74 and 5,710.42 is: 8,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.94 : 9,174.74 = 5,710.42 : x
  2. Step 2: Convert to fraction form
    6,111.94/9,174.74 = 5,710.42/x
  3. Step 3: Cross multiply
    6,111.94x = 9,174.74 × 5,710.42
  4. Step 4: Simplify right side
    6,111.94x = 52,391,618.79
  5. Step 5: Solve for x
    x = 52,391,618.79/6,111.94
  6. Step 6: Final answer
    x = 8,572.01

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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.