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Finding the Fourth Proportional to 9,107.60, 13,690.20 and 8,416.40

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Solution

The fourth proportional to 9,107.60, 13,690.20 and 8,416.40 is: 12,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.60 : 13,690.20 = 8,416.40 : x
  2. Step 2: Convert to fraction form
    9,107.60/13,690.20 = 8,416.40/x
  3. Step 3: Cross multiply
    9,107.60x = 13,690.20 × 8,416.40
  4. Step 4: Simplify right side
    9,107.60x = 115,222,199.28
  5. Step 5: Solve for x
    x = 115,222,199.28/9,107.60
  6. Step 6: Final answer
    x = 12,651.21

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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.