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Finding the Fourth Proportional to 9,787, 14,677.42 and 3,211.64

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Solution

The fourth proportional to 9,787, 14,677.42 and 3,211.64 is: 4,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787 : 14,677.42 = 3,211.64 : x
  2. Step 2: Convert to fraction form
    9,787/14,677.42 = 3,211.64/x
  3. Step 3: Cross multiply
    9,787x = 14,677.42 × 3,211.64
  4. Step 4: Simplify right side
    9,787x = 47,138,589.17
  5. Step 5: Solve for x
    x = 47,138,589.17/9,787
  6. Step 6: Final answer
    x = 4,816.45

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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.