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Finding the Fourth Proportional to 7,226.12, 9,971.70 and 4,039.56

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Solution

The fourth proportional to 7,226.12, 9,971.70 and 4,039.56 is: 5,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.12 : 9,971.70 = 4,039.56 : x
  2. Step 2: Convert to fraction form
    7,226.12/9,971.70 = 4,039.56/x
  3. Step 3: Cross multiply
    7,226.12x = 9,971.70 × 4,039.56
  4. Step 4: Simplify right side
    7,226.12x = 40,281,280.45
  5. Step 5: Solve for x
    x = 40,281,280.45/7,226.12
  6. Step 6: Final answer
    x = 5,574.40

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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.