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Finding the Fourth Proportional to 7,053.69, 9,736.62 and 4,813.97

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Solution

The fourth proportional to 7,053.69, 9,736.62 and 4,813.97 is: 6,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.69 : 9,736.62 = 4,813.97 : x
  2. Step 2: Convert to fraction form
    7,053.69/9,736.62 = 4,813.97/x
  3. Step 3: Cross multiply
    7,053.69x = 9,736.62 × 4,813.97
  4. Step 4: Simplify right side
    7,053.69x = 46,871,747.90
  5. Step 5: Solve for x
    x = 46,871,747.90/7,053.69
  6. Step 6: Final answer
    x = 6,645.00

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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.