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Finding the Fourth Proportional to 12,397.92, 17,109.51 and 7,094.46

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Solution

The fourth proportional to 12,397.92, 17,109.51 and 7,094.46 is: 9,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.92 : 17,109.51 = 7,094.46 : x
  2. Step 2: Convert to fraction form
    12,397.92/17,109.51 = 7,094.46/x
  3. Step 3: Cross multiply
    12,397.92x = 17,109.51 × 7,094.46
  4. Step 4: Simplify right side
    12,397.92x = 121,382,734.31
  5. Step 5: Solve for x
    x = 121,382,734.31/12,397.92
  6. Step 6: Final answer
    x = 9,790.57

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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.