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Finding the Fourth Proportional to 9,596.88, 14,388.24 and 3,019.32

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Solution

The fourth proportional to 9,596.88, 14,388.24 and 3,019.32 is: 4,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.88 : 14,388.24 = 3,019.32 : x
  2. Step 2: Convert to fraction form
    9,596.88/14,388.24 = 3,019.32/x
  3. Step 3: Cross multiply
    9,596.88x = 14,388.24 × 3,019.32
  4. Step 4: Simplify right side
    9,596.88x = 43,442,700.80
  5. Step 5: Solve for x
    x = 43,442,700.80/9,596.88
  6. Step 6: Final answer
    x = 4,526.75

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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.