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Finding the Fourth Proportional to 9,222, 12,727.32 and 5,685.12

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Solution

The fourth proportional to 9,222, 12,727.32 and 5,685.12 is: 7,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222 : 12,727.32 = 5,685.12 : x
  2. Step 2: Convert to fraction form
    9,222/12,727.32 = 5,685.12/x
  3. Step 3: Cross multiply
    9,222x = 12,727.32 × 5,685.12
  4. Step 4: Simplify right side
    9,222x = 72,356,341.48
  5. Step 5: Solve for x
    x = 72,356,341.48/9,222
  6. Step 6: Final answer
    x = 7,846.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.