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Finding the Fourth Proportional to 6,415.17, 9,624.11 and 2,466.42

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Solution

The fourth proportional to 6,415.17, 9,624.11 and 2,466.42 is: 3,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.17 : 9,624.11 = 2,466.42 : x
  2. Step 2: Convert to fraction form
    6,415.17/9,624.11 = 2,466.42/x
  3. Step 3: Cross multiply
    6,415.17x = 9,624.11 × 2,466.42
  4. Step 4: Simplify right side
    6,415.17x = 23,737,085.05
  5. Step 5: Solve for x
    x = 23,737,085.05/6,415.17
  6. Step 6: Final answer
    x = 3,700.15

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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.