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Finding the Fourth Proportional to 9,901.35, 13,663.82 and 5,425.38

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Solution

The fourth proportional to 9,901.35, 13,663.82 and 5,425.38 is: 7,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.35 : 13,663.82 = 5,425.38 : x
  2. Step 2: Convert to fraction form
    9,901.35/13,663.82 = 5,425.38/x
  3. Step 3: Cross multiply
    9,901.35x = 13,663.82 × 5,425.38
  4. Step 4: Simplify right side
    9,901.35x = 74,131,429.32
  5. Step 5: Solve for x
    x = 74,131,429.32/9,901.35
  6. Step 6: Final answer
    x = 7,487.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.