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Finding the Fourth Proportional to 6,952.22, 9,594.22 and 3,968.00

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Solution

The fourth proportional to 6,952.22, 9,594.22 and 3,968.00 is: 5,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.22 : 9,594.22 = 3,968.00 : x
  2. Step 2: Convert to fraction form
    6,952.22/9,594.22 = 3,968.00/x
  3. Step 3: Cross multiply
    6,952.22x = 9,594.22 × 3,968.00
  4. Step 4: Simplify right side
    6,952.22x = 38,069,816.99
  5. Step 5: Solve for x
    x = 38,069,816.99/6,952.22
  6. Step 6: Final answer
    x = 5,475.92

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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.