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Finding the Fourth Proportional to 9,396.65, 14,092.70 and 3,070.30

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Solution

The fourth proportional to 9,396.65, 14,092.70 and 3,070.30 is: 4,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.65 : 14,092.70 = 3,070.30 : x
  2. Step 2: Convert to fraction form
    9,396.65/14,092.70 = 3,070.30/x
  3. Step 3: Cross multiply
    9,396.65x = 14,092.70 × 3,070.30
  4. Step 4: Simplify right side
    9,396.65x = 43,268,766.23
  5. Step 5: Solve for x
    x = 43,268,766.23/9,396.65
  6. Step 6: Final answer
    x = 4,604.70

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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.