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Finding the Fourth Proportional to 9,885.69, 14,830.89 and 3,222.15

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Solution

The fourth proportional to 9,885.69, 14,830.89 and 3,222.15 is: 4,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.69 : 14,830.89 = 3,222.15 : x
  2. Step 2: Convert to fraction form
    9,885.69/14,830.89 = 3,222.15/x
  3. Step 3: Cross multiply
    9,885.69x = 14,830.89 × 3,222.15
  4. Step 4: Simplify right side
    9,885.69x = 47,787,352.21
  5. Step 5: Solve for x
    x = 47,787,352.21/9,885.69
  6. Step 6: Final answer
    x = 4,833.99

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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.