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Finding the Fourth Proportional to 9,522.46, 14,278.56 and 2,946.88

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Solution

The fourth proportional to 9,522.46, 14,278.56 and 2,946.88 is: 4,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.46 : 14,278.56 = 2,946.88 : x
  2. Step 2: Convert to fraction form
    9,522.46/14,278.56 = 2,946.88/x
  3. Step 3: Cross multiply
    9,522.46x = 14,278.56 × 2,946.88
  4. Step 4: Simplify right side
    9,522.46x = 42,077,202.89
  5. Step 5: Solve for x
    x = 42,077,202.89/9,522.46
  6. Step 6: Final answer
    x = 4,418.73

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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.