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Finding the Fourth Proportional to 9,523.62, 14,291.32 and 4,593.76

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Solution

The fourth proportional to 9,523.62, 14,291.32 and 4,593.76 is: 6,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.62 : 14,291.32 = 4,593.76 : x
  2. Step 2: Convert to fraction form
    9,523.62/14,291.32 = 4,593.76/x
  3. Step 3: Cross multiply
    9,523.62x = 14,291.32 × 4,593.76
  4. Step 4: Simplify right side
    9,523.62x = 65,650,894.16
  5. Step 5: Solve for x
    x = 65,650,894.16/9,523.62
  6. Step 6: Final answer
    x = 6,893.48

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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.