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Finding the Fourth Proportional to 9,633.12, 13,293.84 and 5,384.64

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Solution

The fourth proportional to 9,633.12, 13,293.84 and 5,384.64 is: 7,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.12 : 13,293.84 = 5,384.64 : x
  2. Step 2: Convert to fraction form
    9,633.12/13,293.84 = 5,384.64/x
  3. Step 3: Cross multiply
    9,633.12x = 13,293.84 × 5,384.64
  4. Step 4: Simplify right side
    9,633.12x = 71,582,542.62
  5. Step 5: Solve for x
    x = 71,582,542.62/9,633.12
  6. Step 6: Final answer
    x = 7,430.88

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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.