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Finding the Fourth Proportional to 9,767.96, 14,643.72 and 3,190.56

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Solution

The fourth proportional to 9,767.96, 14,643.72 and 3,190.56 is: 4,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.96 : 14,643.72 = 3,190.56 : x
  2. Step 2: Convert to fraction form
    9,767.96/14,643.72 = 3,190.56/x
  3. Step 3: Cross multiply
    9,767.96x = 14,643.72 × 3,190.56
  4. Step 4: Simplify right side
    9,767.96x = 46,721,667.28
  5. Step 5: Solve for x
    x = 46,721,667.28/9,767.96
  6. Step 6: Final answer
    x = 4,783.16

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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.