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Finding the Fourth Proportional to 6,275.19, 9,415.08 and 2,576.42

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Solution

The fourth proportional to 6,275.19, 9,415.08 and 2,576.42 is: 3,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.19 : 9,415.08 = 2,576.42 : x
  2. Step 2: Convert to fraction form
    6,275.19/9,415.08 = 2,576.42/x
  3. Step 3: Cross multiply
    6,275.19x = 9,415.08 × 2,576.42
  4. Step 4: Simplify right side
    6,275.19x = 24,257,153.34
  5. Step 5: Solve for x
    x = 24,257,153.34/6,275.19
  6. Step 6: Final answer
    x = 3,865.56

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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.