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Finding the Fourth Proportional to 9,901.34, 13,663.39 and 5,924.64

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Solution

The fourth proportional to 9,901.34, 13,663.39 and 5,924.64 is: 8,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.34 : 13,663.39 = 5,924.64 : x
  2. Step 2: Convert to fraction form
    9,901.34/13,663.39 = 5,924.64/x
  3. Step 3: Cross multiply
    9,901.34x = 13,663.39 × 5,924.64
  4. Step 4: Simplify right side
    9,901.34x = 80,950,666.93
  5. Step 5: Solve for x
    x = 80,950,666.93/9,901.34
  6. Step 6: Final answer
    x = 8,175.73

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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.