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Finding the Fourth Proportional to 9,818.50, 14,724.90 and 4,270.80

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Solution

The fourth proportional to 9,818.50, 14,724.90 and 4,270.80 is: 6,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.50 : 14,724.90 = 4,270.80 : x
  2. Step 2: Convert to fraction form
    9,818.50/14,724.90 = 4,270.80/x
  3. Step 3: Cross multiply
    9,818.50x = 14,724.90 × 4,270.80
  4. Step 4: Simplify right side
    9,818.50x = 62,887,102.92
  5. Step 5: Solve for x
    x = 62,887,102.92/9,818.50
  6. Step 6: Final answer
    x = 6,404.96

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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.