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Finding the Fourth Proportional to 6,225.84, 9,335.43 and 1,842.66

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Solution

The fourth proportional to 6,225.84, 9,335.43 and 1,842.66 is: 2,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.84 : 9,335.43 = 1,842.66 : x
  2. Step 2: Convert to fraction form
    6,225.84/9,335.43 = 1,842.66/x
  3. Step 3: Cross multiply
    6,225.84x = 9,335.43 × 1,842.66
  4. Step 4: Simplify right side
    6,225.84x = 17,202,023.44
  5. Step 5: Solve for x
    x = 17,202,023.44/6,225.84
  6. Step 6: Final answer
    x = 2,763.00

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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.