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Finding the Fourth Proportional to 9,722.10, 13,410.45 and 6,363.30

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Solution

The fourth proportional to 9,722.10, 13,410.45 and 6,363.30 is: 8,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.10 : 13,410.45 = 6,363.30 : x
  2. Step 2: Convert to fraction form
    9,722.10/13,410.45 = 6,363.30/x
  3. Step 3: Cross multiply
    9,722.10x = 13,410.45 × 6,363.30
  4. Step 4: Simplify right side
    9,722.10x = 85,334,716.49
  5. Step 5: Solve for x
    x = 85,334,716.49/9,722.10
  6. Step 6: Final answer
    x = 8,777.40

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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.