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Finding the Fourth Proportional to 9,783.91, 14,676.53 and 4,852.23

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Solution

The fourth proportional to 9,783.91, 14,676.53 and 4,852.23 is: 7,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.91 : 14,676.53 = 4,852.23 : x
  2. Step 2: Convert to fraction form
    9,783.91/14,676.53 = 4,852.23/x
  3. Step 3: Cross multiply
    9,783.91x = 14,676.53 × 4,852.23
  4. Step 4: Simplify right side
    9,783.91x = 71,213,819.86
  5. Step 5: Solve for x
    x = 71,213,819.86/9,783.91
  6. Step 6: Final answer
    x = 7,278.67

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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.