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Finding the Fourth Proportional to 9,884.48, 14,824.32 and 4,616.16

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Solution

The fourth proportional to 9,884.48, 14,824.32 and 4,616.16 is: 6,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.48 : 14,824.32 = 4,616.16 : x
  2. Step 2: Convert to fraction form
    9,884.48/14,824.32 = 4,616.16/x
  3. Step 3: Cross multiply
    9,884.48x = 14,824.32 × 4,616.16
  4. Step 4: Simplify right side
    9,884.48x = 68,431,433.01
  5. Step 5: Solve for x
    x = 68,431,433.01/9,884.48
  6. Step 6: Final answer
    x = 6,923.12

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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.