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Finding the Fourth Proportional to 9,781.75, 14,675.33 and 2,856.25

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Solution

The fourth proportional to 9,781.75, 14,675.33 and 2,856.25 is: 4,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.75 : 14,675.33 = 2,856.25 : x
  2. Step 2: Convert to fraction form
    9,781.75/14,675.33 = 2,856.25/x
  3. Step 3: Cross multiply
    9,781.75x = 14,675.33 × 2,856.25
  4. Step 4: Simplify right side
    9,781.75x = 41,916,411.31
  5. Step 5: Solve for x
    x = 41,916,411.31/9,781.75
  6. Step 6: Final answer
    x = 4,285.16

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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.