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Finding the Fourth Proportional to 5,085.30, 7,014.09 and 4,667

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Solution

The fourth proportional to 5,085.30, 7,014.09 and 4,667 is: 6,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.30 : 7,014.09 = 4,667 : x
  2. Step 2: Convert to fraction form
    5,085.30/7,014.09 = 4,667/x
  3. Step 3: Cross multiply
    5,085.30x = 7,014.09 × 4,667
  4. Step 4: Simplify right side
    5,085.30x = 32,734,758.03
  5. Step 5: Solve for x
    x = 32,734,758.03/5,085.30
  6. Step 6: Final answer
    x = 6,437.13

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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.