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Finding the Fourth Proportional to 7,053.57, 9,733.50 and 3,866.22

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Solution

The fourth proportional to 7,053.57, 9,733.50 and 3,866.22 is: 5,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.57 : 9,733.50 = 3,866.22 : x
  2. Step 2: Convert to fraction form
    7,053.57/9,733.50 = 3,866.22/x
  3. Step 3: Cross multiply
    7,053.57x = 9,733.50 × 3,866.22
  4. Step 4: Simplify right side
    7,053.57x = 37,631,852.37
  5. Step 5: Solve for x
    x = 37,631,852.37/7,053.57
  6. Step 6: Final answer
    x = 5,335.15

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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.