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Finding the Fourth Proportional to 9,901.98, 13,667.13 and 6,364.71

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Solution

The fourth proportional to 9,901.98, 13,667.13 and 6,364.71 is: 8,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.98 : 13,667.13 = 6,364.71 : x
  2. Step 2: Convert to fraction form
    9,901.98/13,667.13 = 6,364.71/x
  3. Step 3: Cross multiply
    9,901.98x = 13,667.13 × 6,364.71
  4. Step 4: Simplify right side
    9,901.98x = 86,987,318.98
  5. Step 5: Solve for x
    x = 86,987,318.98/9,901.98
  6. Step 6: Final answer
    x = 8,784.84

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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.