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Finding the Fourth Proportional to 6,187.45, 9,281.19 and 1,507.46

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Solution

The fourth proportional to 6,187.45, 9,281.19 and 1,507.46 is: 2,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.45 : 9,281.19 = 1,507.46 : x
  2. Step 2: Convert to fraction form
    6,187.45/9,281.19 = 1,507.46/x
  3. Step 3: Cross multiply
    6,187.45x = 9,281.19 × 1,507.46
  4. Step 4: Simplify right side
    6,187.45x = 13,991,022.68
  5. Step 5: Solve for x
    x = 13,991,022.68/6,187.45
  6. Step 6: Final answer
    x = 2,261.19

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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.