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Finding the Fourth Proportional to 6,185.16, 9,277.59 and 1,505.19

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Solution

The fourth proportional to 6,185.16, 9,277.59 and 1,505.19 is: 2,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.16 : 9,277.59 = 1,505.19 : x
  2. Step 2: Convert to fraction form
    6,185.16/9,277.59 = 1,505.19/x
  3. Step 3: Cross multiply
    6,185.16x = 9,277.59 × 1,505.19
  4. Step 4: Simplify right side
    6,185.16x = 13,964,535.69
  5. Step 5: Solve for x
    x = 13,964,535.69/6,185.16
  6. Step 6: Final answer
    x = 2,257.75

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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.