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Finding the Fourth Proportional to 6,237.40, 9,352.82 and 1,854.20

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Solution

The fourth proportional to 6,237.40, 9,352.82 and 1,854.20 is: 2,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.40 : 9,352.82 = 1,854.20 : x
  2. Step 2: Convert to fraction form
    6,237.40/9,352.82 = 1,854.20/x
  3. Step 3: Cross multiply
    6,237.40x = 9,352.82 × 1,854.20
  4. Step 4: Simplify right side
    6,237.40x = 17,341,998.84
  5. Step 5: Solve for x
    x = 17,341,998.84/6,237.40
  6. Step 6: Final answer
    x = 2,780.32

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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.