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Finding the Fourth Proportional to 9,735.86, 14,608.40 and 5,794.91

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Solution

The fourth proportional to 9,735.86, 14,608.40 and 5,794.91 is: 8,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.86 : 14,608.40 = 5,794.91 : x
  2. Step 2: Convert to fraction form
    9,735.86/14,608.40 = 5,794.91/x
  3. Step 3: Cross multiply
    9,735.86x = 14,608.40 × 5,794.91
  4. Step 4: Simplify right side
    9,735.86x = 84,654,363.24
  5. Step 5: Solve for x
    x = 84,654,363.24/9,735.86
  6. Step 6: Final answer
    x = 8,695.11

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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.