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Finding the Fourth Proportional to 9,262.32, 13,894.56 and 3,022.80

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Solution

The fourth proportional to 9,262.32, 13,894.56 and 3,022.80 is: 4,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.32 : 13,894.56 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    9,262.32/13,894.56 = 3,022.80/x
  3. Step 3: Cross multiply
    9,262.32x = 13,894.56 × 3,022.80
  4. Step 4: Simplify right side
    9,262.32x = 42,000,475.97
  5. Step 5: Solve for x
    x = 42,000,475.97/9,262.32
  6. Step 6: Final answer
    x = 4,534.55

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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.