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Finding the Fourth Proportional to 9,888.20, 14,834.64 and 3,224.66

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Solution

The fourth proportional to 9,888.20, 14,834.64 and 3,224.66 is: 4,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.20 : 14,834.64 = 3,224.66 : x
  2. Step 2: Convert to fraction form
    9,888.20/14,834.64 = 3,224.66/x
  3. Step 3: Cross multiply
    9,888.20x = 14,834.64 × 3,224.66
  4. Step 4: Simplify right side
    9,888.20x = 47,836,670.22
  5. Step 5: Solve for x
    x = 47,836,670.22/9,888.20
  6. Step 6: Final answer
    x = 4,837.75

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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.