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Finding the Fourth Proportional to 6,409.35, 9,602.49 and 6,023.37

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Solution

The fourth proportional to 6,409.35, 9,602.49 and 6,023.37 is: 9,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.35 : 9,602.49 = 6,023.37 : x
  2. Step 2: Convert to fraction form
    6,409.35/9,602.49 = 6,023.37/x
  3. Step 3: Cross multiply
    6,409.35x = 9,602.49 × 6,023.37
  4. Step 4: Simplify right side
    6,409.35x = 57,839,350.19
  5. Step 5: Solve for x
    x = 57,839,350.19/6,409.35
  6. Step 6: Final answer
    x = 9,024.21

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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.