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Finding the Fourth Proportional to 9,759.90, 14,613.93 and 5,071.62

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Solution

The fourth proportional to 9,759.90, 14,613.93 and 5,071.62 is: 7,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.90 : 14,613.93 = 5,071.62 : x
  2. Step 2: Convert to fraction form
    9,759.90/14,613.93 = 5,071.62/x
  3. Step 3: Cross multiply
    9,759.90x = 14,613.93 × 5,071.62
  4. Step 4: Simplify right side
    9,759.90x = 74,116,299.67
  5. Step 5: Solve for x
    x = 74,116,299.67/9,759.90
  6. Step 6: Final answer
    x = 7,593.96

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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.