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Finding the Fourth Proportional to 9,500.86, 14,245.08 and 3,658.06

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Solution

The fourth proportional to 9,500.86, 14,245.08 and 3,658.06 is: 5,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.86 : 14,245.08 = 3,658.06 : x
  2. Step 2: Convert to fraction form
    9,500.86/14,245.08 = 3,658.06/x
  3. Step 3: Cross multiply
    9,500.86x = 14,245.08 × 3,658.06
  4. Step 4: Simplify right side
    9,500.86x = 52,109,357.34
  5. Step 5: Solve for x
    x = 52,109,357.34/9,500.86
  6. Step 6: Final answer
    x = 5,484.70

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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.