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Finding the Fourth Proportional to 6,236.80, 9,357.06 and 1,854.40

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Solution

The fourth proportional to 6,236.80, 9,357.06 and 1,854.40 is: 2,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.80 : 9,357.06 = 1,854.40 : x
  2. Step 2: Convert to fraction form
    6,236.80/9,357.06 = 1,854.40/x
  3. Step 3: Cross multiply
    6,236.80x = 9,357.06 × 1,854.40
  4. Step 4: Simplify right side
    6,236.80x = 17,351,732.06
  5. Step 5: Solve for x
    x = 17,351,732.06/6,236.80
  6. Step 6: Final answer
    x = 2,782.15

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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.