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Finding the Fourth Proportional to 9,190.17, 13,714.74 and 8,206.02

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Solution

The fourth proportional to 9,190.17, 13,714.74 and 8,206.02 is: 12,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.17 : 13,714.74 = 8,206.02 : x
  2. Step 2: Convert to fraction form
    9,190.17/13,714.74 = 8,206.02/x
  3. Step 3: Cross multiply
    9,190.17x = 13,714.74 × 8,206.02
  4. Step 4: Simplify right side
    9,190.17x = 112,543,430.73
  5. Step 5: Solve for x
    x = 112,543,430.73/9,190.17
  6. Step 6: Final answer
    x = 12,246.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.