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Finding the Fourth Proportional to 6,271.66, 9,407.49 and 5,096.08

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Solution

The fourth proportional to 6,271.66, 9,407.49 and 5,096.08 is: 7,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.66 : 9,407.49 = 5,096.08 : x
  2. Step 2: Convert to fraction form
    6,271.66/9,407.49 = 5,096.08/x
  3. Step 3: Cross multiply
    6,271.66x = 9,407.49 × 5,096.08
  4. Step 4: Simplify right side
    6,271.66x = 47,941,321.64
  5. Step 5: Solve for x
    x = 47,941,321.64/6,271.66
  6. Step 6: Final answer
    x = 7,644.12

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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.