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Finding the Fourth Proportional to 9,416.60, 14,102.62 and 8,177.27

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Solution

The fourth proportional to 9,416.60, 14,102.62 and 8,177.27 is: 12,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.60 : 14,102.62 = 8,177.27 : x
  2. Step 2: Convert to fraction form
    9,416.60/14,102.62 = 8,177.27/x
  3. Step 3: Cross multiply
    9,416.60x = 14,102.62 × 8,177.27
  4. Step 4: Simplify right side
    9,416.60x = 115,320,946.26
  5. Step 5: Solve for x
    x = 115,320,946.26/9,416.60
  6. Step 6: Final answer
    x = 12,246.57

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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.