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Finding the Fourth Proportional to 28,105.86, 42,153.93 and 9,637.86

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Solution

The fourth proportional to 28,105.86, 42,153.93 and 9,637.86 is: 14,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105.86 : 42,153.93 = 9,637.86 : x
  2. Step 2: Convert to fraction form
    28,105.86/42,153.93 = 9,637.86/x
  3. Step 3: Cross multiply
    28,105.86x = 42,153.93 × 9,637.86
  4. Step 4: Simplify right side
    28,105.86x = 406,273,675.79
  5. Step 5: Solve for x
    x = 406,273,675.79/28,105.86
  6. Step 6: Final answer
    x = 14,455.12

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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.