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Finding the Fourth Proportional to 9,682.67, 14,522.36 and 4,416.46

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Solution

The fourth proportional to 9,682.67, 14,522.36 and 4,416.46 is: 6,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.67 : 14,522.36 = 4,416.46 : x
  2. Step 2: Convert to fraction form
    9,682.67/14,522.36 = 4,416.46/x
  3. Step 3: Cross multiply
    9,682.67x = 14,522.36 × 4,416.46
  4. Step 4: Simplify right side
    9,682.67x = 64,137,363.66
  5. Step 5: Solve for x
    x = 64,137,363.66/9,682.67
  6. Step 6: Final answer
    x = 6,623.93

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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.