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Finding the Fourth Proportional to 9,582.32, 13,216.10 and 6,226.21

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Solution

The fourth proportional to 9,582.32, 13,216.10 and 6,226.21 is: 8,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.32 : 13,216.10 = 6,226.21 : x
  2. Step 2: Convert to fraction form
    9,582.32/13,216.10 = 6,226.21/x
  3. Step 3: Cross multiply
    9,582.32x = 13,216.10 × 6,226.21
  4. Step 4: Simplify right side
    9,582.32x = 82,286,213.98
  5. Step 5: Solve for x
    x = 82,286,213.98/9,582.32
  6. Step 6: Final answer
    x = 8,587.30

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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.