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Finding the Fourth Proportional to 9,862.31, 14,793.59 and 2,842.44

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Solution

The fourth proportional to 9,862.31, 14,793.59 and 2,842.44 is: 4,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.31 : 14,793.59 = 2,842.44 : x
  2. Step 2: Convert to fraction form
    9,862.31/14,793.59 = 2,842.44/x
  3. Step 3: Cross multiply
    9,862.31x = 14,793.59 × 2,842.44
  4. Step 4: Simplify right side
    9,862.31x = 42,049,899.07
  5. Step 5: Solve for x
    x = 42,049,899.07/9,862.31
  6. Step 6: Final answer
    x = 4,263.70

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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.