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Finding the Fourth Proportional to 9,583.56, 14,379.26 and 5,195.88

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Solution

The fourth proportional to 9,583.56, 14,379.26 and 5,195.88 is: 7,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.56 : 14,379.26 = 5,195.88 : x
  2. Step 2: Convert to fraction form
    9,583.56/14,379.26 = 5,195.88/x
  3. Step 3: Cross multiply
    9,583.56x = 14,379.26 × 5,195.88
  4. Step 4: Simplify right side
    9,583.56x = 74,712,909.45
  5. Step 5: Solve for x
    x = 74,712,909.45/9,583.56
  6. Step 6: Final answer
    x = 7,795.95

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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.