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Finding the Fourth Proportional to 6,174.36, 9,254.52 and 2,886.84

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Solution

The fourth proportional to 6,174.36, 9,254.52 and 2,886.84 is: 4,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.36 : 9,254.52 = 2,886.84 : x
  2. Step 2: Convert to fraction form
    6,174.36/9,254.52 = 2,886.84/x
  3. Step 3: Cross multiply
    6,174.36x = 9,254.52 × 2,886.84
  4. Step 4: Simplify right side
    6,174.36x = 26,716,318.52
  5. Step 5: Solve for x
    x = 26,716,318.52/6,174.36
  6. Step 6: Final answer
    x = 4,326.98

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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.