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Finding the Fourth Proportional to 9,847.83, 14,771.95 and 5,493.00

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Solution

The fourth proportional to 9,847.83, 14,771.95 and 5,493.00 is: 8,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.83 : 14,771.95 = 5,493.00 : x
  2. Step 2: Convert to fraction form
    9,847.83/14,771.95 = 5,493.00/x
  3. Step 3: Cross multiply
    9,847.83x = 14,771.95 × 5,493.00
  4. Step 4: Simplify right side
    9,847.83x = 81,142,393.91
  5. Step 5: Solve for x
    x = 81,142,393.91/9,847.83
  6. Step 6: Final answer
    x = 8,239.62

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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.