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Finding the Fourth Proportional to 9,665.14, 13,337.52 and 5,473.40

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Solution

The fourth proportional to 9,665.14, 13,337.52 and 5,473.40 is: 7,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.14 : 13,337.52 = 5,473.40 : x
  2. Step 2: Convert to fraction form
    9,665.14/13,337.52 = 5,473.40/x
  3. Step 3: Cross multiply
    9,665.14x = 13,337.52 × 5,473.40
  4. Step 4: Simplify right side
    9,665.14x = 73,001,581.97
  5. Step 5: Solve for x
    x = 73,001,581.97/9,665.14
  6. Step 6: Final answer
    x = 7,553.08

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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.