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Finding the Fourth Proportional to 9,837.69, 14,756.44 and 5,890.06

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Solution

The fourth proportional to 9,837.69, 14,756.44 and 5,890.06 is: 8,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.69 : 14,756.44 = 5,890.06 : x
  2. Step 2: Convert to fraction form
    9,837.69/14,756.44 = 5,890.06/x
  3. Step 3: Cross multiply
    9,837.69x = 14,756.44 × 5,890.06
  4. Step 4: Simplify right side
    9,837.69x = 86,916,316.99
  5. Step 5: Solve for x
    x = 86,916,316.99/9,837.69
  6. Step 6: Final answer
    x = 8,835.03

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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.