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Finding the Fourth Proportional to 9,210.20, 12,714.90 and 6,201.16

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Solution

The fourth proportional to 9,210.20, 12,714.90 and 6,201.16 is: 8,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.20 : 12,714.90 = 6,201.16 : x
  2. Step 2: Convert to fraction form
    9,210.20/12,714.90 = 6,201.16/x
  3. Step 3: Cross multiply
    9,210.20x = 12,714.90 × 6,201.16
  4. Step 4: Simplify right side
    9,210.20x = 78,847,065.71
  5. Step 5: Solve for x
    x = 78,847,065.71/9,210.20
  6. Step 6: Final answer
    x = 8,560.85

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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.