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Finding the Fourth Proportional to 9,666.14, 14,500.62 and 3,092.99

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Solution

The fourth proportional to 9,666.14, 14,500.62 and 3,092.99 is: 4,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.14 : 14,500.62 = 3,092.99 : x
  2. Step 2: Convert to fraction form
    9,666.14/14,500.62 = 3,092.99/x
  3. Step 3: Cross multiply
    9,666.14x = 14,500.62 × 3,092.99
  4. Step 4: Simplify right side
    9,666.14x = 44,850,200.15
  5. Step 5: Solve for x
    x = 44,850,200.15/9,666.14
  6. Step 6: Final answer
    x = 4,639.93

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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.