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Finding the Fourth Proportional to 9,767.98, 14,652.38 and 2,842.48

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Solution

The fourth proportional to 9,767.98, 14,652.38 and 2,842.48 is: 4,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.98 : 14,652.38 = 2,842.48 : x
  2. Step 2: Convert to fraction form
    9,767.98/14,652.38 = 2,842.48/x
  3. Step 3: Cross multiply
    9,767.98x = 14,652.38 × 2,842.48
  4. Step 4: Simplify right side
    9,767.98x = 41,649,097.10
  5. Step 5: Solve for x
    x = 41,649,097.10/9,767.98
  6. Step 6: Final answer
    x = 4,263.84

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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.