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Finding the Fourth Proportional to 9,606.05, 14,410.50 and 3,032.13

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Solution

The fourth proportional to 9,606.05, 14,410.50 and 3,032.13 is: 4,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.05 : 14,410.50 = 3,032.13 : x
  2. Step 2: Convert to fraction form
    9,606.05/14,410.50 = 3,032.13/x
  3. Step 3: Cross multiply
    9,606.05x = 14,410.50 × 3,032.13
  4. Step 4: Simplify right side
    9,606.05x = 43,694,509.37
  5. Step 5: Solve for x
    x = 43,694,509.37/9,606.05
  6. Step 6: Final answer
    x = 4,548.65

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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.