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Finding the Fourth Proportional to 9,597.44, 14,400.35 and 3,361.93

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Solution

The fourth proportional to 9,597.44, 14,400.35 and 3,361.93 is: 5,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.44 : 14,400.35 = 3,361.93 : x
  2. Step 2: Convert to fraction form
    9,597.44/14,400.35 = 3,361.93/x
  3. Step 3: Cross multiply
    9,597.44x = 14,400.35 × 3,361.93
  4. Step 4: Simplify right side
    9,597.44x = 48,412,968.68
  5. Step 5: Solve for x
    x = 48,412,968.68/9,597.44
  6. Step 6: Final answer
    x = 5,044.36

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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.