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Finding the Fourth Proportional to 9,362.42, 14,043.50 and 2,342.41

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Solution

The fourth proportional to 9,362.42, 14,043.50 and 2,342.41 is: 3,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.42 : 14,043.50 = 2,342.41 : x
  2. Step 2: Convert to fraction form
    9,362.42/14,043.50 = 2,342.41/x
  3. Step 3: Cross multiply
    9,362.42x = 14,043.50 × 2,342.41
  4. Step 4: Simplify right side
    9,362.42x = 32,895,583.64
  5. Step 5: Solve for x
    x = 32,895,583.64/9,362.42
  6. Step 6: Final answer
    x = 3,513.58

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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.