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Finding the Fourth Proportional to 9,740.99, 14,610.67 and 3,897.92

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Solution

The fourth proportional to 9,740.99, 14,610.67 and 3,897.92 is: 5,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.99 : 14,610.67 = 3,897.92 : x
  2. Step 2: Convert to fraction form
    9,740.99/14,610.67 = 3,897.92/x
  3. Step 3: Cross multiply
    9,740.99x = 14,610.67 × 3,897.92
  4. Step 4: Simplify right side
    9,740.99x = 56,951,222.81
  5. Step 5: Solve for x
    x = 56,951,222.81/9,740.99
  6. Step 6: Final answer
    x = 5,846.55

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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.