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Finding the Fourth Proportional to 6,151.68, 9,227.52 and 5,054.40

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Solution

The fourth proportional to 6,151.68, 9,227.52 and 5,054.40 is: 7,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.68 : 9,227.52 = 5,054.40 : x
  2. Step 2: Convert to fraction form
    6,151.68/9,227.52 = 5,054.40/x
  3. Step 3: Cross multiply
    6,151.68x = 9,227.52 × 5,054.40
  4. Step 4: Simplify right side
    6,151.68x = 46,639,577.09
  5. Step 5: Solve for x
    x = 46,639,577.09/6,151.68
  6. Step 6: Final answer
    x = 7,581.60

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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.