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Finding the Fourth Proportional to 10,065.60, 13,861.24 and 9,423.80

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Solution

The fourth proportional to 10,065.60, 13,861.24 and 9,423.80 is: 12,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.60 : 13,861.24 = 9,423.80 : x
  2. Step 2: Convert to fraction form
    10,065.60/13,861.24 = 9,423.80/x
  3. Step 3: Cross multiply
    10,065.60x = 13,861.24 × 9,423.80
  4. Step 4: Simplify right side
    10,065.60x = 130,625,553.51
  5. Step 5: Solve for x
    x = 130,625,553.51/10,065.60
  6. Step 6: Final answer
    x = 12,977.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.