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Finding the Fourth Proportional to 9,189.90, 13,762.64 and 5,229.15

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Solution

The fourth proportional to 9,189.90, 13,762.64 and 5,229.15 is: 7,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.90 : 13,762.64 = 5,229.15 : x
  2. Step 2: Convert to fraction form
    9,189.90/13,762.64 = 5,229.15/x
  3. Step 3: Cross multiply
    9,189.90x = 13,762.64 × 5,229.15
  4. Step 4: Simplify right side
    9,189.90x = 71,966,945.13
  5. Step 5: Solve for x
    x = 71,966,945.13/9,189.90
  6. Step 6: Final answer
    x = 7,831.09

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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.