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Finding the Fourth Proportional to 6,185.41, 9,277.98 and 1,505.44

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Solution

The fourth proportional to 6,185.41, 9,277.98 and 1,505.44 is: 2,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.41 : 9,277.98 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    6,185.41/9,277.98 = 1,505.44/x
  3. Step 3: Cross multiply
    6,185.41x = 9,277.98 × 1,505.44
  4. Step 4: Simplify right side
    6,185.41x = 13,967,488.41
  5. Step 5: Solve for x
    x = 13,967,488.41/6,185.41
  6. Step 6: Final answer
    x = 2,258.13

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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.