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Finding the Fourth Proportional to 9,151.30, 13,729.83 and 5,457.70

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Solution

The fourth proportional to 9,151.30, 13,729.83 and 5,457.70 is: 8,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.30 : 13,729.83 = 5,457.70 : x
  2. Step 2: Convert to fraction form
    9,151.30/13,729.83 = 5,457.70/x
  3. Step 3: Cross multiply
    9,151.30x = 13,729.83 × 5,457.70
  4. Step 4: Simplify right side
    9,151.30x = 74,933,293.19
  5. Step 5: Solve for x
    x = 74,933,293.19/9,151.30
  6. Step 6: Final answer
    x = 8,188.27

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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.