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Finding the Fourth Proportional to 9,995.88, 13,781.48 and 8,196.76

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Solution

The fourth proportional to 9,995.88, 13,781.48 and 8,196.76 is: 11,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.88 : 13,781.48 = 8,196.76 : x
  2. Step 2: Convert to fraction form
    9,995.88/13,781.48 = 8,196.76/x
  3. Step 3: Cross multiply
    9,995.88x = 13,781.48 × 8,196.76
  4. Step 4: Simplify right side
    9,995.88x = 112,963,484.00
  5. Step 5: Solve for x
    x = 112,963,484.00/9,995.88
  6. Step 6: Final answer
    x = 11,301.00

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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.