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Finding the Fourth Proportional to 7,115.04, 9,814.32 and 5,122.44

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Solution

The fourth proportional to 7,115.04, 9,814.32 and 5,122.44 is: 7,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.04 : 9,814.32 = 5,122.44 : x
  2. Step 2: Convert to fraction form
    7,115.04/9,814.32 = 5,122.44/x
  3. Step 3: Cross multiply
    7,115.04x = 9,814.32 × 5,122.44
  4. Step 4: Simplify right side
    7,115.04x = 50,273,265.34
  5. Step 5: Solve for x
    x = 50,273,265.34/7,115.04
  6. Step 6: Final answer
    x = 7,065.77

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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.