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Finding the Fourth Proportional to 9,002.81, 13,504.22 and 2,846.81

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Solution

The fourth proportional to 9,002.81, 13,504.22 and 2,846.81 is: 4,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.81 : 13,504.22 = 2,846.81 : x
  2. Step 2: Convert to fraction form
    9,002.81/13,504.22 = 2,846.81/x
  3. Step 3: Cross multiply
    9,002.81x = 13,504.22 × 2,846.81
  4. Step 4: Simplify right side
    9,002.81x = 38,443,978.74
  5. Step 5: Solve for x
    x = 38,443,978.74/9,002.81
  6. Step 6: Final answer
    x = 4,270.22

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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.