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Finding the Fourth Proportional to 9,405.99, 14,108.99 and 7,642.62

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Solution

The fourth proportional to 9,405.99, 14,108.99 and 7,642.62 is: 11,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.99 : 14,108.99 = 7,642.62 : x
  2. Step 2: Convert to fraction form
    9,405.99/14,108.99 = 7,642.62/x
  3. Step 3: Cross multiply
    9,405.99x = 14,108.99 × 7,642.62
  4. Step 4: Simplify right side
    9,405.99x = 107,829,610.94
  5. Step 5: Solve for x
    x = 107,829,610.94/9,405.99
  6. Step 6: Final answer
    x = 11,463.93

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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.