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Finding the Fourth Proportional to 9,222.39, 13,822.74 and 4,281.62

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Solution

The fourth proportional to 9,222.39, 13,822.74 and 4,281.62 is: 6,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.39 : 13,822.74 = 4,281.62 : x
  2. Step 2: Convert to fraction form
    9,222.39/13,822.74 = 4,281.62/x
  3. Step 3: Cross multiply
    9,222.39x = 13,822.74 × 4,281.62
  4. Step 4: Simplify right side
    9,222.39x = 59,183,650.93
  5. Step 5: Solve for x
    x = 59,183,650.93/9,222.39
  6. Step 6: Final answer
    x = 6,417.39

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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.