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Finding the Fourth Proportional to 9,656.22, 14,483.12 and 3,081.86

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Solution

The fourth proportional to 9,656.22, 14,483.12 and 3,081.86 is: 4,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.22 : 14,483.12 = 3,081.86 : x
  2. Step 2: Convert to fraction form
    9,656.22/14,483.12 = 3,081.86/x
  3. Step 3: Cross multiply
    9,656.22x = 14,483.12 × 3,081.86
  4. Step 4: Simplify right side
    9,656.22x = 44,634,860.38
  5. Step 5: Solve for x
    x = 44,634,860.38/9,656.22
  6. Step 6: Final answer
    x = 4,622.39

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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.