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Finding the Fourth Proportional to 9,946.20, 14,816.19 and 9,715.80

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Solution

The fourth proportional to 9,946.20, 14,816.19 and 9,715.80 is: 14,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.20 : 14,816.19 = 9,715.80 : x
  2. Step 2: Convert to fraction form
    9,946.20/14,816.19 = 9,715.80/x
  3. Step 3: Cross multiply
    9,946.20x = 14,816.19 × 9,715.80
  4. Step 4: Simplify right side
    9,946.20x = 143,951,138.80
  5. Step 5: Solve for x
    x = 143,951,138.80/9,946.20
  6. Step 6: Final answer
    x = 14,472.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.