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Finding the Fourth Proportional to 9,583.63, 14,379.23 and 6,296.11

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Solution

The fourth proportional to 9,583.63, 14,379.23 and 6,296.11 is: 9,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.63 : 14,379.23 = 6,296.11 : x
  2. Step 2: Convert to fraction form
    9,583.63/14,379.23 = 6,296.11/x
  3. Step 3: Cross multiply
    9,583.63x = 14,379.23 × 6,296.11
  4. Step 4: Simplify right side
    9,583.63x = 90,533,213.80
  5. Step 5: Solve for x
    x = 90,533,213.80/9,583.63
  6. Step 6: Final answer
    x = 9,446.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.