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Finding the Fourth Proportional to 6,301.36, 9,450.69 and 2,602.63

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Solution

The fourth proportional to 6,301.36, 9,450.69 and 2,602.63 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.36 : 9,450.69 = 2,602.63 : x
  2. Step 2: Convert to fraction form
    6,301.36/9,450.69 = 2,602.63/x
  3. Step 3: Cross multiply
    6,301.36x = 9,450.69 × 2,602.63
  4. Step 4: Simplify right side
    6,301.36x = 24,596,649.31
  5. Step 5: Solve for x
    x = 24,596,649.31/6,301.36
  6. Step 6: Final answer
    x = 3,903.39

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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.