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Finding the Fourth Proportional to 9,712.92, 14,556.60 and 7,053.36

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Solution

The fourth proportional to 9,712.92, 14,556.60 and 7,053.36 is: 10,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.92 : 14,556.60 = 7,053.36 : x
  2. Step 2: Convert to fraction form
    9,712.92/14,556.60 = 7,053.36/x
  3. Step 3: Cross multiply
    9,712.92x = 14,556.60 × 7,053.36
  4. Step 4: Simplify right side
    9,712.92x = 102,672,940.18
  5. Step 5: Solve for x
    x = 102,672,940.18/9,712.92
  6. Step 6: Final answer
    x = 10,570.76

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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.