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Finding the Fourth Proportional to 9,633.79, 13,294.44 and 5,384.92

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Solution

The fourth proportional to 9,633.79, 13,294.44 and 5,384.92 is: 7,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.79 : 13,294.44 = 5,384.92 : x
  2. Step 2: Convert to fraction form
    9,633.79/13,294.44 = 5,384.92/x
  3. Step 3: Cross multiply
    9,633.79x = 13,294.44 × 5,384.92
  4. Step 4: Simplify right side
    9,633.79x = 71,589,495.84
  5. Step 5: Solve for x
    x = 71,589,495.84/9,633.79
  6. Step 6: Final answer
    x = 7,431.08

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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.