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Finding the Fourth Proportional to 9,767.56, 14,651.74 and 2,842.06

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Solution

The fourth proportional to 9,767.56, 14,651.74 and 2,842.06 is: 4,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.56 : 14,651.74 = 2,842.06 : x
  2. Step 2: Convert to fraction form
    9,767.56/14,651.74 = 2,842.06/x
  3. Step 3: Cross multiply
    9,767.56x = 14,651.74 × 2,842.06
  4. Step 4: Simplify right side
    9,767.56x = 41,641,124.18
  5. Step 5: Solve for x
    x = 41,641,124.18/9,767.56
  6. Step 6: Final answer
    x = 4,263.21

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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.