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Finding the Fourth Proportional to 9,071.46, 13,607.33 and 2,831.22

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Solution

The fourth proportional to 9,071.46, 13,607.33 and 2,831.22 is: 4,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.46 : 13,607.33 = 2,831.22 : x
  2. Step 2: Convert to fraction form
    9,071.46/13,607.33 = 2,831.22/x
  3. Step 3: Cross multiply
    9,071.46x = 13,607.33 × 2,831.22
  4. Step 4: Simplify right side
    9,071.46x = 38,525,330.69
  5. Step 5: Solve for x
    x = 38,525,330.69/9,071.46
  6. Step 6: Final answer
    x = 4,246.87

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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.