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Finding the Fourth Proportional to 29,235.68, 43,858.10 and 9,509.61

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Solution

The fourth proportional to 29,235.68, 43,858.10 and 9,509.61 is: 14,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,235.68 : 43,858.10 = 9,509.61 : x
  2. Step 2: Convert to fraction form
    29,235.68/43,858.10 = 9,509.61/x
  3. Step 3: Cross multiply
    29,235.68x = 43,858.10 × 9,509.61
  4. Step 4: Simplify right side
    29,235.68x = 417,073,378.79
  5. Step 5: Solve for x
    x = 417,073,378.79/29,235.68
  6. Step 6: Final answer
    x = 14,265.91

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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.