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Finding the Fourth Proportional to 9,164.71, 12,648.33 and 5,186.08

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Solution

The fourth proportional to 9,164.71, 12,648.33 and 5,186.08 is: 7,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.71 : 12,648.33 = 5,186.08 : x
  2. Step 2: Convert to fraction form
    9,164.71/12,648.33 = 5,186.08/x
  3. Step 3: Cross multiply
    9,164.71x = 12,648.33 × 5,186.08
  4. Step 4: Simplify right side
    9,164.71x = 65,595,208.00
  5. Step 5: Solve for x
    x = 65,595,208.00/9,164.71
  6. Step 6: Final answer
    x = 7,157.37

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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.