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Finding the Fourth Proportional to 9,832.16, 14,747.78 and 2,812.16

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Solution

The fourth proportional to 9,832.16, 14,747.78 and 2,812.16 is: 4,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.16 : 14,747.78 = 2,812.16 : x
  2. Step 2: Convert to fraction form
    9,832.16/14,747.78 = 2,812.16/x
  3. Step 3: Cross multiply
    9,832.16x = 14,747.78 × 2,812.16
  4. Step 4: Simplify right side
    9,832.16x = 41,473,117.00
  5. Step 5: Solve for x
    x = 41,473,117.00/9,832.16
  6. Step 6: Final answer
    x = 4,218.11

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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.