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Finding the Fourth Proportional to 9,182.28, 12,677.63 and 7,054.00

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Solution

The fourth proportional to 9,182.28, 12,677.63 and 7,054.00 is: 9,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.28 : 12,677.63 = 7,054.00 : x
  2. Step 2: Convert to fraction form
    9,182.28/12,677.63 = 7,054.00/x
  3. Step 3: Cross multiply
    9,182.28x = 12,677.63 × 7,054.00
  4. Step 4: Simplify right side
    9,182.28x = 89,428,046.05
  5. Step 5: Solve for x
    x = 89,428,046.05/9,182.28
  6. Step 6: Final answer
    x = 9,739.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.