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Finding the Fourth Proportional to 6,284.96, 9,427.88 and 1,902.75

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Solution

The fourth proportional to 6,284.96, 9,427.88 and 1,902.75 is: 2,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.96 : 9,427.88 = 1,902.75 : x
  2. Step 2: Convert to fraction form
    6,284.96/9,427.88 = 1,902.75/x
  3. Step 3: Cross multiply
    6,284.96x = 9,427.88 × 1,902.75
  4. Step 4: Simplify right side
    6,284.96x = 17,938,842.02
  5. Step 5: Solve for x
    x = 17,938,842.02/6,284.96
  6. Step 6: Final answer
    x = 2,854.25

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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.