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Finding the Fourth Proportional to 9,633.16, 13,294.02 and 5,441.32

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Solution

The fourth proportional to 9,633.16, 13,294.02 and 5,441.32 is: 7,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.16 : 13,294.02 = 5,441.32 : x
  2. Step 2: Convert to fraction form
    9,633.16/13,294.02 = 5,441.32/x
  3. Step 3: Cross multiply
    9,633.16x = 13,294.02 × 5,441.32
  4. Step 4: Simplify right side
    9,633.16x = 72,337,016.91
  5. Step 5: Solve for x
    x = 72,337,016.91/9,633.16
  6. Step 6: Final answer
    x = 7,509.17

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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.