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Finding the Fourth Proportional to 9,597, 14,396.94 and 3,442.44

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Solution

The fourth proportional to 9,597, 14,396.94 and 3,442.44 is: 5,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 14,396.94 = 3,442.44 : x
  2. Step 2: Convert to fraction form
    9,597/14,396.94 = 3,442.44/x
  3. Step 3: Cross multiply
    9,597x = 14,396.94 × 3,442.44
  4. Step 4: Simplify right side
    9,597x = 49,560,602.13
  5. Step 5: Solve for x
    x = 49,560,602.13/9,597
  6. Step 6: Final answer
    x = 5,164.18

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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.