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Finding the Fourth Proportional to 6,174.64, 9,250.34 and 3,051.01

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Solution

The fourth proportional to 6,174.64, 9,250.34 and 3,051.01 is: 4,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.64 : 9,250.34 = 3,051.01 : x
  2. Step 2: Convert to fraction form
    6,174.64/9,250.34 = 3,051.01/x
  3. Step 3: Cross multiply
    6,174.64x = 9,250.34 × 3,051.01
  4. Step 4: Simplify right side
    6,174.64x = 28,222,833.59
  5. Step 5: Solve for x
    x = 28,222,833.59/6,174.64
  6. Step 6: Final answer
    x = 4,570.77

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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.