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Finding the Fourth Proportional to 9,665.32, 13,333.74 and 6,832.84

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Solution

The fourth proportional to 9,665.32, 13,333.74 and 6,832.84 is: 9,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.32 : 13,333.74 = 6,832.84 : x
  2. Step 2: Convert to fraction form
    9,665.32/13,333.74 = 6,832.84/x
  3. Step 3: Cross multiply
    9,665.32x = 13,333.74 × 6,832.84
  4. Step 4: Simplify right side
    9,665.32x = 91,107,312.02
  5. Step 5: Solve for x
    x = 91,107,312.02/9,665.32
  6. Step 6: Final answer
    x = 9,426.21

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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.