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Finding the Fourth Proportional to 9,985.11, 13,769.61 and 7,746.17

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Solution

The fourth proportional to 9,985.11, 13,769.61 and 7,746.17 is: 10,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.11 : 13,769.61 = 7,746.17 : x
  2. Step 2: Convert to fraction form
    9,985.11/13,769.61 = 7,746.17/x
  3. Step 3: Cross multiply
    9,985.11x = 13,769.61 × 7,746.17
  4. Step 4: Simplify right side
    9,985.11x = 106,661,722.68
  5. Step 5: Solve for x
    x = 106,661,722.68/9,985.11
  6. Step 6: Final answer
    x = 10,682.08

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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.