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Finding the Fourth Proportional to 9,596.34, 14,396.46 and 4,049.70

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Solution

The fourth proportional to 9,596.34, 14,396.46 and 4,049.70 is: 6,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.34 : 14,396.46 = 4,049.70 : x
  2. Step 2: Convert to fraction form
    9,596.34/14,396.46 = 4,049.70/x
  3. Step 3: Cross multiply
    9,596.34x = 14,396.46 × 4,049.70
  4. Step 4: Simplify right side
    9,596.34x = 58,301,344.06
  5. Step 5: Solve for x
    x = 58,301,344.06/9,596.34
  6. Step 6: Final answer
    x = 6,075.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.