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Finding the Fourth Proportional to 7,023.73, 9,696.64 and 4,788.89

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Solution

The fourth proportional to 7,023.73, 9,696.64 and 4,788.89 is: 6,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.73 : 9,696.64 = 4,788.89 : x
  2. Step 2: Convert to fraction form
    7,023.73/9,696.64 = 4,788.89/x
  3. Step 3: Cross multiply
    7,023.73x = 9,696.64 × 4,788.89
  4. Step 4: Simplify right side
    7,023.73x = 46,436,142.33
  5. Step 5: Solve for x
    x = 46,436,142.33/7,023.73
  6. Step 6: Final answer
    x = 6,611.32

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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.