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Finding the Fourth Proportional to 7,226.52, 9,974.95 and 4,242.27

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Solution

The fourth proportional to 7,226.52, 9,974.95 and 4,242.27 is: 5,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.52 : 9,974.95 = 4,242.27 : x
  2. Step 2: Convert to fraction form
    7,226.52/9,974.95 = 4,242.27/x
  3. Step 3: Cross multiply
    7,226.52x = 9,974.95 × 4,242.27
  4. Step 4: Simplify right side
    7,226.52x = 42,316,457.94
  5. Step 5: Solve for x
    x = 42,316,457.94/7,226.52
  6. Step 6: Final answer
    x = 5,855.72

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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.