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Finding the Fourth Proportional to 7,226.18, 9,980.34 and 4,864.22

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Solution

The fourth proportional to 7,226.18, 9,980.34 and 4,864.22 is: 6,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.18 : 9,980.34 = 4,864.22 : x
  2. Step 2: Convert to fraction form
    7,226.18/9,980.34 = 4,864.22/x
  3. Step 3: Cross multiply
    7,226.18x = 9,980.34 × 4,864.22
  4. Step 4: Simplify right side
    7,226.18x = 48,546,569.43
  5. Step 5: Solve for x
    x = 48,546,569.43/7,226.18
  6. Step 6: Final answer
    x = 6,718.15

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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.