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Finding the Fourth Proportional to 9,465.77, 14,202.56 and 3,920.24

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Solution

The fourth proportional to 9,465.77, 14,202.56 and 3,920.24 is: 5,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.77 : 14,202.56 = 3,920.24 : x
  2. Step 2: Convert to fraction form
    9,465.77/14,202.56 = 3,920.24/x
  3. Step 3: Cross multiply
    9,465.77x = 14,202.56 × 3,920.24
  4. Step 4: Simplify right side
    9,465.77x = 55,677,382.60
  5. Step 5: Solve for x
    x = 55,677,382.60/9,465.77
  6. Step 6: Final answer
    x = 5,881.97

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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.