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Finding the Fourth Proportional to 9,187.16, 13,758.78 and 5,020.94

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Solution

The fourth proportional to 9,187.16, 13,758.78 and 5,020.94 is: 7,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.16 : 13,758.78 = 5,020.94 : x
  2. Step 2: Convert to fraction form
    9,187.16/13,758.78 = 5,020.94/x
  3. Step 3: Cross multiply
    9,187.16x = 13,758.78 × 5,020.94
  4. Step 4: Simplify right side
    9,187.16x = 69,082,008.85
  5. Step 5: Solve for x
    x = 69,082,008.85/9,187.16
  6. Step 6: Final answer
    x = 7,519.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.