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Finding the Fourth Proportional to 9,960.51, 13,730.40 and 8,189.04

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Solution

The fourth proportional to 9,960.51, 13,730.40 and 8,189.04 is: 11,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.51 : 13,730.40 = 8,189.04 : x
  2. Step 2: Convert to fraction form
    9,960.51/13,730.40 = 8,189.04/x
  3. Step 3: Cross multiply
    9,960.51x = 13,730.40 × 8,189.04
  4. Step 4: Simplify right side
    9,960.51x = 112,438,794.82
  5. Step 5: Solve for x
    x = 112,438,794.82/9,960.51
  6. Step 6: Final answer
    x = 11,288.46

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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.