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Finding the Fourth Proportional to 9,658.12, 14,495.40 and 3,818.86

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Solution

The fourth proportional to 9,658.12, 14,495.40 and 3,818.86 is: 5,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.12 : 14,495.40 = 3,818.86 : x
  2. Step 2: Convert to fraction form
    9,658.12/14,495.40 = 3,818.86/x
  3. Step 3: Cross multiply
    9,658.12x = 14,495.40 × 3,818.86
  4. Step 4: Simplify right side
    9,658.12x = 55,355,903.24
  5. Step 5: Solve for x
    x = 55,355,903.24/9,658.12
  6. Step 6: Final answer
    x = 5,731.54

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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.