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Finding the Fourth Proportional to 9,658.22, 14,486.12 and 3,083.86

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Solution

The fourth proportional to 9,658.22, 14,486.12 and 3,083.86 is: 4,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.22 : 14,486.12 = 3,083.86 : x
  2. Step 2: Convert to fraction form
    9,658.22/14,486.12 = 3,083.86/x
  3. Step 3: Cross multiply
    9,658.22x = 14,486.12 × 3,083.86
  4. Step 4: Simplify right side
    9,658.22x = 44,673,166.02
  5. Step 5: Solve for x
    x = 44,673,166.02/9,658.22
  6. Step 6: Final answer
    x = 4,625.40

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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.