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Finding the Fourth Proportional to 6,111.65, 9,185.70 and 6,002.30

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Solution

The fourth proportional to 6,111.65, 9,185.70 and 6,002.30 is: 9,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.65 : 9,185.70 = 6,002.30 : x
  2. Step 2: Convert to fraction form
    6,111.65/9,185.70 = 6,002.30/x
  3. Step 3: Cross multiply
    6,111.65x = 9,185.70 × 6,002.30
  4. Step 4: Simplify right side
    6,111.65x = 55,135,327.11
  5. Step 5: Solve for x
    x = 55,135,327.11/6,111.65
  6. Step 6: Final answer
    x = 9,021.35

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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.