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Finding the Fourth Proportional to 6,190.56, 9,287.29 and 3,416.57

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Solution

The fourth proportional to 6,190.56, 9,287.29 and 3,416.57 is: 5,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.56 : 9,287.29 = 3,416.57 : x
  2. Step 2: Convert to fraction form
    6,190.56/9,287.29 = 3,416.57/x
  3. Step 3: Cross multiply
    6,190.56x = 9,287.29 × 3,416.57
  4. Step 4: Simplify right side
    6,190.56x = 31,730,676.40
  5. Step 5: Solve for x
    x = 31,730,676.40/6,190.56
  6. Step 6: Final answer
    x = 5,125.66

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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.