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Finding the Fourth Proportional to 6,191.36, 9,286.24 and 1,574.08

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Solution

The fourth proportional to 6,191.36, 9,286.24 and 1,574.08 is: 2,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.36 : 9,286.24 = 1,574.08 : x
  2. Step 2: Convert to fraction form
    6,191.36/9,286.24 = 1,574.08/x
  3. Step 3: Cross multiply
    6,191.36x = 9,286.24 × 1,574.08
  4. Step 4: Simplify right side
    6,191.36x = 14,617,284.66
  5. Step 5: Solve for x
    x = 14,617,284.66/6,191.36
  6. Step 6: Final answer
    x = 2,360.92

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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.