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Finding the Fourth Proportional to 6,315.06, 9,461.81 and 3,540.00

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Solution

The fourth proportional to 6,315.06, 9,461.81 and 3,540.00 is: 5,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.06 : 9,461.81 = 3,540.00 : x
  2. Step 2: Convert to fraction form
    6,315.06/9,461.81 = 3,540.00/x
  3. Step 3: Cross multiply
    6,315.06x = 9,461.81 × 3,540.00
  4. Step 4: Simplify right side
    6,315.06x = 33,494,851.73
  5. Step 5: Solve for x
    x = 33,494,851.73/6,315.06
  6. Step 6: Final answer
    x = 5,303.96

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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.