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Finding the Fourth Proportional to 28,134.48, 42,193.22 and 9,409.71

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Solution

The fourth proportional to 28,134.48, 42,193.22 and 9,409.71 is: 14,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,134.48 : 42,193.22 = 9,409.71 : x
  2. Step 2: Convert to fraction form
    28,134.48/42,193.22 = 9,409.71/x
  3. Step 3: Cross multiply
    28,134.48x = 42,193.22 × 9,409.71
  4. Step 4: Simplify right side
    28,134.48x = 397,025,917.12
  5. Step 5: Solve for x
    x = 397,025,917.12/28,134.48
  6. Step 6: Final answer
    x = 14,111.72

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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.