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Finding the Fourth Proportional to 9,396.63, 14,094.46 and 3,156.69

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Solution

The fourth proportional to 9,396.63, 14,094.46 and 3,156.69 is: 4,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.63 : 14,094.46 = 3,156.69 : x
  2. Step 2: Convert to fraction form
    9,396.63/14,094.46 = 3,156.69/x
  3. Step 3: Cross multiply
    9,396.63x = 14,094.46 × 3,156.69
  4. Step 4: Simplify right side
    9,396.63x = 44,491,897.74
  5. Step 5: Solve for x
    x = 44,491,897.74/9,396.63
  6. Step 6: Final answer
    x = 4,734.88

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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.