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Finding the Fourth Proportional to 9,164.75, 12,646.28 and 5,131.80

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Solution

The fourth proportional to 9,164.75, 12,646.28 and 5,131.80 is: 7,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.75 : 12,646.28 = 5,131.80 : x
  2. Step 2: Convert to fraction form
    9,164.75/12,646.28 = 5,131.80/x
  3. Step 3: Cross multiply
    9,164.75x = 12,646.28 × 5,131.80
  4. Step 4: Simplify right side
    9,164.75x = 64,898,192.53
  5. Step 5: Solve for x
    x = 64,898,192.53/9,164.75
  6. Step 6: Final answer
    x = 7,081.29

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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.