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Finding the Fourth Proportional to 6,303.54, 9,461.14 and 3,185.74

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Solution

The fourth proportional to 6,303.54, 9,461.14 and 3,185.74 is: 4,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.54 : 9,461.14 = 3,185.74 : x
  2. Step 2: Convert to fraction form
    6,303.54/9,461.14 = 3,185.74/x
  3. Step 3: Cross multiply
    6,303.54x = 9,461.14 × 3,185.74
  4. Step 4: Simplify right side
    6,303.54x = 30,140,732.14
  5. Step 5: Solve for x
    x = 30,140,732.14/6,303.54
  6. Step 6: Final answer
    x = 4,781.56

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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.