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Finding the Fourth Proportional to 10,436.76, 15,663.42 and 9,206.64

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Solution

The fourth proportional to 10,436.76, 15,663.42 and 9,206.64 is: 13,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.76 : 15,663.42 = 9,206.64 : x
  2. Step 2: Convert to fraction form
    10,436.76/15,663.42 = 9,206.64/x
  3. Step 3: Cross multiply
    10,436.76x = 15,663.42 × 9,206.64
  4. Step 4: Simplify right side
    10,436.76x = 144,207,469.11
  5. Step 5: Solve for x
    x = 144,207,469.11/10,436.76
  6. Step 6: Final answer
    x = 13,817.26

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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.