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Finding the Fourth Proportional to 7,053.33, 9,733.71 and 3,866.93

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Solution

The fourth proportional to 7,053.33, 9,733.71 and 3,866.93 is: 5,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.33 : 9,733.71 = 3,866.93 : x
  2. Step 2: Convert to fraction form
    7,053.33/9,733.71 = 3,866.93/x
  3. Step 3: Cross multiply
    7,053.33x = 9,733.71 × 3,866.93
  4. Step 4: Simplify right side
    7,053.33x = 37,639,526.54
  5. Step 5: Solve for x
    x = 37,639,526.54/7,053.33
  6. Step 6: Final answer
    x = 5,336.42

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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.