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Finding the Fourth Proportional to 9,468.46, 13,066.16 and 5,933.62

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Solution

The fourth proportional to 9,468.46, 13,066.16 and 5,933.62 is: 8,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.46 : 13,066.16 = 5,933.62 : x
  2. Step 2: Convert to fraction form
    9,468.46/13,066.16 = 5,933.62/x
  3. Step 3: Cross multiply
    9,468.46x = 13,066.16 × 5,933.62
  4. Step 4: Simplify right side
    9,468.46x = 77,529,628.30
  5. Step 5: Solve for x
    x = 77,529,628.30/9,468.46
  6. Step 6: Final answer
    x = 8,188.20

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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.