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Finding the Fourth Proportional to 9,422.64, 14,134.14 and 2,848.41

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Solution

The fourth proportional to 9,422.64, 14,134.14 and 2,848.41 is: 4,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.64 : 14,134.14 = 2,848.41 : x
  2. Step 2: Convert to fraction form
    9,422.64/14,134.14 = 2,848.41/x
  3. Step 3: Cross multiply
    9,422.64x = 14,134.14 × 2,848.41
  4. Step 4: Simplify right side
    9,422.64x = 40,259,825.72
  5. Step 5: Solve for x
    x = 40,259,825.72/9,422.64
  6. Step 6: Final answer
    x = 4,272.67

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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.