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Finding the Fourth Proportional to 11,446.92, 15,783.29 and 9,176.42

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Solution

The fourth proportional to 11,446.92, 15,783.29 and 9,176.42 is: 12,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.92 : 15,783.29 = 9,176.42 : x
  2. Step 2: Convert to fraction form
    11,446.92/15,783.29 = 9,176.42/x
  3. Step 3: Cross multiply
    11,446.92x = 15,783.29 × 9,176.42
  4. Step 4: Simplify right side
    11,446.92x = 144,834,126.01
  5. Step 5: Solve for x
    x = 144,834,126.01/11,446.92
  6. Step 6: Final answer
    x = 12,652.67

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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.