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Finding the Fourth Proportional to 9,523.17, 14,293.97 and 4,596.28

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Solution

The fourth proportional to 9,523.17, 14,293.97 and 4,596.28 is: 6,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.17 : 14,293.97 = 4,596.28 : x
  2. Step 2: Convert to fraction form
    9,523.17/14,293.97 = 4,596.28/x
  3. Step 3: Cross multiply
    9,523.17x = 14,293.97 × 4,596.28
  4. Step 4: Simplify right side
    9,523.17x = 65,698,993.98
  5. Step 5: Solve for x
    x = 65,698,993.98/9,523.17
  6. Step 6: Final answer
    x = 6,898.86

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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.