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Finding the Fourth Proportional to 9,975.83, 13,773.11 and 6,203.12

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Solution

The fourth proportional to 9,975.83, 13,773.11 and 6,203.12 is: 8,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.83 : 13,773.11 = 6,203.12 : x
  2. Step 2: Convert to fraction form
    9,975.83/13,773.11 = 6,203.12/x
  3. Step 3: Cross multiply
    9,975.83x = 13,773.11 × 6,203.12
  4. Step 4: Simplify right side
    9,975.83x = 85,436,154.22
  5. Step 5: Solve for x
    x = 85,436,154.22/9,975.83
  6. Step 6: Final answer
    x = 8,564.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.