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Finding the Fourth Proportional to 9,164.45, 13,756.40 and 8,117.07

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Solution

The fourth proportional to 9,164.45, 13,756.40 and 8,117.07 is: 12,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.45 : 13,756.40 = 8,117.07 : x
  2. Step 2: Convert to fraction form
    9,164.45/13,756.40 = 8,117.07/x
  3. Step 3: Cross multiply
    9,164.45x = 13,756.40 × 8,117.07
  4. Step 4: Simplify right side
    9,164.45x = 111,661,617.72
  5. Step 5: Solve for x
    x = 111,661,617.72/9,164.45
  6. Step 6: Final answer
    x = 12,184.21

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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.