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Finding the Fourth Proportional to 6,415.02, 9,624.23 and 2,717.39

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Solution

The fourth proportional to 6,415.02, 9,624.23 and 2,717.39 is: 4,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.02 : 9,624.23 = 2,717.39 : x
  2. Step 2: Convert to fraction form
    6,415.02/9,624.23 = 2,717.39/x
  3. Step 3: Cross multiply
    6,415.02x = 9,624.23 × 2,717.39
  4. Step 4: Simplify right side
    6,415.02x = 26,152,724.65
  5. Step 5: Solve for x
    x = 26,152,724.65/6,415.02
  6. Step 6: Final answer
    x = 4,076.80

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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.