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Finding the Fourth Proportional to 9,623.72, 14,468.52 and 8,902.28

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Solution

The fourth proportional to 9,623.72, 14,468.52 and 8,902.28 is: 13,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.72 : 14,468.52 = 8,902.28 : x
  2. Step 2: Convert to fraction form
    9,623.72/14,468.52 = 8,902.28/x
  3. Step 3: Cross multiply
    9,623.72x = 14,468.52 × 8,902.28
  4. Step 4: Simplify right side
    9,623.72x = 128,802,816.23
  5. Step 5: Solve for x
    x = 128,802,816.23/9,623.72
  6. Step 6: Final answer
    x = 13,383.89

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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.