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Finding the Fourth Proportional to 9,601.98, 14,404.25 and 4,670.97

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Solution

The fourth proportional to 9,601.98, 14,404.25 and 4,670.97 is: 7,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.98 : 14,404.25 = 4,670.97 : x
  2. Step 2: Convert to fraction form
    9,601.98/14,404.25 = 4,670.97/x
  3. Step 3: Cross multiply
    9,601.98x = 14,404.25 × 4,670.97
  4. Step 4: Simplify right side
    9,601.98x = 67,281,819.62
  5. Step 5: Solve for x
    x = 67,281,819.62/9,601.98
  6. Step 6: Final answer
    x = 7,007.08

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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.