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Finding the Fourth Proportional to 9,182.40, 12,666.07 and 8,006.28

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Solution

The fourth proportional to 9,182.40, 12,666.07 and 8,006.28 is: 11,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.40 : 12,666.07 = 8,006.28 : x
  2. Step 2: Convert to fraction form
    9,182.40/12,666.07 = 8,006.28/x
  3. Step 3: Cross multiply
    9,182.40x = 12,666.07 × 8,006.28
  4. Step 4: Simplify right side
    9,182.40x = 101,408,102.92
  5. Step 5: Solve for x
    x = 101,408,102.92/9,182.40
  6. Step 6: Final answer
    x = 11,043.75

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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.