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Finding the Fourth Proportional to 9,947, 14,909.57 and 4,100.42

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Solution

The fourth proportional to 9,947, 14,909.57 and 4,100.42 is: 6,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 14,909.57 = 4,100.42 : x
  2. Step 2: Convert to fraction form
    9,947/14,909.57 = 4,100.42/x
  3. Step 3: Cross multiply
    9,947x = 14,909.57 × 4,100.42
  4. Step 4: Simplify right side
    9,947x = 61,135,499.02
  5. Step 5: Solve for x
    x = 61,135,499.02/9,947
  6. Step 6: Final answer
    x = 6,146.12

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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.