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Finding the Fourth Proportional to 9,818.96, 14,729.47 and 3,153.78

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Solution

The fourth proportional to 9,818.96, 14,729.47 and 3,153.78 is: 4,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.96 : 14,729.47 = 3,153.78 : x
  2. Step 2: Convert to fraction form
    9,818.96/14,729.47 = 3,153.78/x
  3. Step 3: Cross multiply
    9,818.96x = 14,729.47 × 3,153.78
  4. Step 4: Simplify right side
    9,818.96x = 46,453,418.48
  5. Step 5: Solve for x
    x = 46,453,418.48/9,818.96
  6. Step 6: Final answer
    x = 4,730.99

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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.