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Finding the Fourth Proportional to 9,979.94, 13,775.19 and 6,996.51

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Solution

The fourth proportional to 9,979.94, 13,775.19 and 6,996.51 is: 9,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.94 : 13,775.19 = 6,996.51 : x
  2. Step 2: Convert to fraction form
    9,979.94/13,775.19 = 6,996.51/x
  3. Step 3: Cross multiply
    9,979.94x = 13,775.19 × 6,996.51
  4. Step 4: Simplify right side
    9,979.94x = 96,378,254.59
  5. Step 5: Solve for x
    x = 96,378,254.59/9,979.94
  6. Step 6: Final answer
    x = 9,657.20

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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.