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Finding the Fourth Proportional to 9,035.46, 12,465.09 and 6,385.14

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Solution

The fourth proportional to 9,035.46, 12,465.09 and 6,385.14 is: 8,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.46 : 12,465.09 = 6,385.14 : x
  2. Step 2: Convert to fraction form
    9,035.46/12,465.09 = 6,385.14/x
  3. Step 3: Cross multiply
    9,035.46x = 12,465.09 × 6,385.14
  4. Step 4: Simplify right side
    9,035.46x = 79,591,344.76
  5. Step 5: Solve for x
    x = 79,591,344.76/9,035.46
  6. Step 6: Final answer
    x = 8,808.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.