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Finding the Fourth Proportional to 6,130.49, 9,198.56 and 4,741.74

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Solution

The fourth proportional to 6,130.49, 9,198.56 and 4,741.74 is: 7,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.49 : 9,198.56 = 4,741.74 : x
  2. Step 2: Convert to fraction form
    6,130.49/9,198.56 = 4,741.74/x
  3. Step 3: Cross multiply
    6,130.49x = 9,198.56 × 4,741.74
  4. Step 4: Simplify right side
    6,130.49x = 43,617,191.75
  5. Step 5: Solve for x
    x = 43,617,191.75/6,130.49
  6. Step 6: Final answer
    x = 7,114.80

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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.