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Finding the Fourth Proportional to 9,899.84, 13,663.08 and 6,373.31

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Solution

The fourth proportional to 9,899.84, 13,663.08 and 6,373.31 is: 8,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.84 : 13,663.08 = 6,373.31 : x
  2. Step 2: Convert to fraction form
    9,899.84/13,663.08 = 6,373.31/x
  3. Step 3: Cross multiply
    9,899.84x = 13,663.08 × 6,373.31
  4. Step 4: Simplify right side
    9,899.84x = 87,078,976.08
  5. Step 5: Solve for x
    x = 87,078,976.08/9,899.84
  6. Step 6: Final answer
    x = 8,796.00

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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.