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Finding the Fourth Proportional to 9,847.13, 14,777.53 and 4,003.74

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Solution

The fourth proportional to 9,847.13, 14,777.53 and 4,003.74 is: 6,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.13 : 14,777.53 = 4,003.74 : x
  2. Step 2: Convert to fraction form
    9,847.13/14,777.53 = 4,003.74/x
  3. Step 3: Cross multiply
    9,847.13x = 14,777.53 × 4,003.74
  4. Step 4: Simplify right side
    9,847.13x = 59,165,377.95
  5. Step 5: Solve for x
    x = 59,165,377.95/9,847.13
  6. Step 6: Final answer
    x = 6,008.39

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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.