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Finding the Fourth Proportional to 9,728.71, 14,591.64 and 6,054.55

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Solution

The fourth proportional to 9,728.71, 14,591.64 and 6,054.55 is: 9,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.71 : 14,591.64 = 6,054.55 : x
  2. Step 2: Convert to fraction form
    9,728.71/14,591.64 = 6,054.55/x
  3. Step 3: Cross multiply
    9,728.71x = 14,591.64 × 6,054.55
  4. Step 4: Simplify right side
    9,728.71x = 88,345,800.19
  5. Step 5: Solve for x
    x = 88,345,800.19/9,728.71
  6. Step 6: Final answer
    x = 9,080.94

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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.