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Finding the Fourth Proportional to 9,633.60, 14,433.12 and 8,404.80

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Solution

The fourth proportional to 9,633.60, 14,433.12 and 8,404.80 is: 12,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.60 : 14,433.12 = 8,404.80 : x
  2. Step 2: Convert to fraction form
    9,633.60/14,433.12 = 8,404.80/x
  3. Step 3: Cross multiply
    9,633.60x = 14,433.12 × 8,404.80
  4. Step 4: Simplify right side
    9,633.60x = 121,307,486.98
  5. Step 5: Solve for x
    x = 121,307,486.98/9,633.60
  6. Step 6: Final answer
    x = 12,592.12

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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.