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Finding the Fourth Proportional to 9,598.69, 14,379.57 and 5,890.09

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Solution

The fourth proportional to 9,598.69, 14,379.57 and 5,890.09 is: 8,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.69 : 14,379.57 = 5,890.09 : x
  2. Step 2: Convert to fraction form
    9,598.69/14,379.57 = 5,890.09/x
  3. Step 3: Cross multiply
    9,598.69x = 14,379.57 × 5,890.09
  4. Step 4: Simplify right side
    9,598.69x = 84,696,961.46
  5. Step 5: Solve for x
    x = 84,696,961.46/9,598.69
  6. Step 6: Final answer
    x = 8,823.80

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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.