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Finding the Fourth Proportional to 9,488.62, 14,241.62 and 4,811.86

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Solution

The fourth proportional to 9,488.62, 14,241.62 and 4,811.86 is: 7,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.62 : 14,241.62 = 4,811.86 : x
  2. Step 2: Convert to fraction form
    9,488.62/14,241.62 = 4,811.86/x
  3. Step 3: Cross multiply
    9,488.62x = 14,241.62 × 4,811.86
  4. Step 4: Simplify right side
    9,488.62x = 68,528,684.38
  5. Step 5: Solve for x
    x = 68,528,684.38/9,488.62
  6. Step 6: Final answer
    x = 7,222.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.