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Finding the Fourth Proportional to 9,422.40, 14,134.95 and 2,849.10

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Solution

The fourth proportional to 9,422.40, 14,134.95 and 2,849.10 is: 4,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.40 : 14,134.95 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    9,422.40/14,134.95 = 2,849.10/x
  3. Step 3: Cross multiply
    9,422.40x = 14,134.95 × 2,849.10
  4. Step 4: Simplify right side
    9,422.40x = 40,271,886.05
  5. Step 5: Solve for x
    x = 40,271,886.05/9,422.40
  6. Step 6: Final answer
    x = 4,274.06

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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.