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Finding the Fourth Proportional to 9,412.64, 14,109.36 and 5,952.16

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Solution

The fourth proportional to 9,412.64, 14,109.36 and 5,952.16 is: 8,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.64 : 14,109.36 = 5,952.16 : x
  2. Step 2: Convert to fraction form
    9,412.64/14,109.36 = 5,952.16/x
  3. Step 3: Cross multiply
    9,412.64x = 14,109.36 × 5,952.16
  4. Step 4: Simplify right side
    9,412.64x = 83,981,168.22
  5. Step 5: Solve for x
    x = 83,981,168.22/9,412.64
  6. Step 6: Final answer
    x = 8,922.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.