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Finding the Fourth Proportional to 9,520.74, 14,283.54 and 3,679.02

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Solution

The fourth proportional to 9,520.74, 14,283.54 and 3,679.02 is: 5,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.74 : 14,283.54 = 3,679.02 : x
  2. Step 2: Convert to fraction form
    9,520.74/14,283.54 = 3,679.02/x
  3. Step 3: Cross multiply
    9,520.74x = 14,283.54 × 3,679.02
  4. Step 4: Simplify right side
    9,520.74x = 52,549,429.33
  5. Step 5: Solve for x
    x = 52,549,429.33/9,520.74
  6. Step 6: Final answer
    x = 5,519.47

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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.