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Finding the Fourth Proportional to 9,722.20, 14,587.62 and 6,266.20

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Solution

The fourth proportional to 9,722.20, 14,587.62 and 6,266.20 is: 9,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.20 : 14,587.62 = 6,266.20 : x
  2. Step 2: Convert to fraction form
    9,722.20/14,587.62 = 6,266.20/x
  3. Step 3: Cross multiply
    9,722.20x = 14,587.62 × 6,266.20
  4. Step 4: Simplify right side
    9,722.20x = 91,408,944.44
  5. Step 5: Solve for x
    x = 91,408,944.44/9,722.20
  6. Step 6: Final answer
    x = 9,402.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.