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Finding the Fourth Proportional to 9,396.30, 14,110.65 and 6,642.30

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Solution

The fourth proportional to 9,396.30, 14,110.65 and 6,642.30 is: 9,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.30 : 14,110.65 = 6,642.30 : x
  2. Step 2: Convert to fraction form
    9,396.30/14,110.65 = 6,642.30/x
  3. Step 3: Cross multiply
    9,396.30x = 14,110.65 × 6,642.30
  4. Step 4: Simplify right side
    9,396.30x = 93,727,170.50
  5. Step 5: Solve for x
    x = 93,727,170.50/9,396.30
  6. Step 6: Final answer
    x = 9,974.90

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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.