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Finding the Fourth Proportional to 9,596.18, 14,393.08 and 2,576.74

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Solution

The fourth proportional to 9,596.18, 14,393.08 and 2,576.74 is: 3,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.18 : 14,393.08 = 2,576.74 : x
  2. Step 2: Convert to fraction form
    9,596.18/14,393.08 = 2,576.74/x
  3. Step 3: Cross multiply
    9,596.18x = 14,393.08 × 2,576.74
  4. Step 4: Simplify right side
    9,596.18x = 37,087,224.96
  5. Step 5: Solve for x
    x = 37,087,224.96/9,596.18
  6. Step 6: Final answer
    x = 3,864.79

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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.