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Finding the Fourth Proportional to 6,722.90, 9,275.21 and 4,208.15

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Solution

The fourth proportional to 6,722.90, 9,275.21 and 4,208.15 is: 5,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.90 : 9,275.21 = 4,208.15 : x
  2. Step 2: Convert to fraction form
    6,722.90/9,275.21 = 4,208.15/x
  3. Step 3: Cross multiply
    6,722.90x = 9,275.21 × 4,208.15
  4. Step 4: Simplify right side
    6,722.90x = 39,031,492.89
  5. Step 5: Solve for x
    x = 39,031,492.89/6,722.90
  6. Step 6: Final answer
    x = 5,805.75

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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.