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Finding the Fourth Proportional to 9,523.80, 14,276.25 and 4,829.85

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Solution

The fourth proportional to 9,523.80, 14,276.25 and 4,829.85 is: 7,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.80 : 14,276.25 = 4,829.85 : x
  2. Step 2: Convert to fraction form
    9,523.80/14,276.25 = 4,829.85/x
  3. Step 3: Cross multiply
    9,523.80x = 14,276.25 × 4,829.85
  4. Step 4: Simplify right side
    9,523.80x = 68,952,146.06
  5. Step 5: Solve for x
    x = 68,952,146.06/9,523.80
  6. Step 6: Final answer
    x = 7,239.98

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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.