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Finding the Fourth Proportional to 9,696.97, 14,545.76 and 2,677.51

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Solution

The fourth proportional to 9,696.97, 14,545.76 and 2,677.51 is: 4,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.97 : 14,545.76 = 2,677.51 : x
  2. Step 2: Convert to fraction form
    9,696.97/14,545.76 = 2,677.51/x
  3. Step 3: Cross multiply
    9,696.97x = 14,545.76 × 2,677.51
  4. Step 4: Simplify right side
    9,696.97x = 38,946,351.82
  5. Step 5: Solve for x
    x = 38,946,351.82/9,696.97
  6. Step 6: Final answer
    x = 4,016.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.