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Finding the Fourth Proportional to 10,633.36, 15,952.89 and 9,471.32

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Solution

The fourth proportional to 10,633.36, 15,952.89 and 9,471.32 is: 14,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.36 : 15,952.89 = 9,471.32 : x
  2. Step 2: Convert to fraction form
    10,633.36/15,952.89 = 9,471.32/x
  3. Step 3: Cross multiply
    10,633.36x = 15,952.89 × 9,471.32
  4. Step 4: Simplify right side
    10,633.36x = 151,094,926.11
  5. Step 5: Solve for x
    x = 151,094,926.11/10,633.36
  6. Step 6: Final answer
    x = 14,209.52

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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.