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Finding the Fourth Proportional to 9,219.04, 12,712.21 and 6,229.69

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Solution

The fourth proportional to 9,219.04, 12,712.21 and 6,229.69 is: 8,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.04 : 12,712.21 = 6,229.69 : x
  2. Step 2: Convert to fraction form
    9,219.04/12,712.21 = 6,229.69/x
  3. Step 3: Cross multiply
    9,219.04x = 12,712.21 × 6,229.69
  4. Step 4: Simplify right side
    9,219.04x = 79,193,080.16
  5. Step 5: Solve for x
    x = 79,193,080.16/9,219.04
  6. Step 6: Final answer
    x = 8,590.17

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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.