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Finding the Fourth Proportional to 9,602.26, 14,405.16 and 3,362.14

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Solution

The fourth proportional to 9,602.26, 14,405.16 and 3,362.14 is: 5,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.26 : 14,405.16 = 3,362.14 : x
  2. Step 2: Convert to fraction form
    9,602.26/14,405.16 = 3,362.14/x
  3. Step 3: Cross multiply
    9,602.26x = 14,405.16 × 3,362.14
  4. Step 4: Simplify right side
    9,602.26x = 48,432,164.64
  5. Step 5: Solve for x
    x = 48,432,164.64/9,602.26
  6. Step 6: Final answer
    x = 5,043.83

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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.