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Finding the Fourth Proportional to 9,225.26, 13,831.22 and 3,598.16

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Solution

The fourth proportional to 9,225.26, 13,831.22 and 3,598.16 is: 5,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.26 : 13,831.22 = 3,598.16 : x
  2. Step 2: Convert to fraction form
    9,225.26/13,831.22 = 3,598.16/x
  3. Step 3: Cross multiply
    9,225.26x = 13,831.22 × 3,598.16
  4. Step 4: Simplify right side
    9,225.26x = 49,766,942.56
  5. Step 5: Solve for x
    x = 49,766,942.56/9,225.26
  6. Step 6: Final answer
    x = 5,394.64

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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.