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Finding the Fourth Proportional to 6,607.42, 9,118.22 and 3,623.38

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Solution

The fourth proportional to 6,607.42, 9,118.22 and 3,623.38 is: 5,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.42 : 9,118.22 = 3,623.38 : x
  2. Step 2: Convert to fraction form
    6,607.42/9,118.22 = 3,623.38/x
  3. Step 3: Cross multiply
    6,607.42x = 9,118.22 × 3,623.38
  4. Step 4: Simplify right side
    6,607.42x = 33,038,775.98
  5. Step 5: Solve for x
    x = 33,038,775.98/6,607.42
  6. Step 6: Final answer
    x = 5,000.25

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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.