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Finding the Fourth Proportional to 7,054.00, 9,734.49 and 4,069.82

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Solution

The fourth proportional to 7,054.00, 9,734.49 and 4,069.82 is: 5,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.00 : 9,734.49 = 4,069.82 : x
  2. Step 2: Convert to fraction form
    7,054.00/9,734.49 = 4,069.82/x
  3. Step 3: Cross multiply
    7,054.00x = 9,734.49 × 4,069.82
  4. Step 4: Simplify right side
    7,054.00x = 39,617,646.43
  5. Step 5: Solve for x
    x = 39,617,646.43/7,054.00
  6. Step 6: Final answer
    x = 5,616.34

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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.