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Finding the Fourth Proportional to 9,885.48, 14,825.82 and 4,617.16

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Solution

The fourth proportional to 9,885.48, 14,825.82 and 4,617.16 is: 6,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.48 : 14,825.82 = 4,617.16 : x
  2. Step 2: Convert to fraction form
    9,885.48/14,825.82 = 4,617.16/x
  3. Step 3: Cross multiply
    9,885.48x = 14,825.82 × 4,617.16
  4. Step 4: Simplify right side
    9,885.48x = 68,453,183.07
  5. Step 5: Solve for x
    x = 68,453,183.07/9,885.48
  6. Step 6: Final answer
    x = 6,924.62

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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.