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Finding the Fourth Proportional to 9,354.76, 12,910.80 and 6,520.30

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Solution

The fourth proportional to 9,354.76, 12,910.80 and 6,520.30 is: 8,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.76 : 12,910.80 = 6,520.30 : x
  2. Step 2: Convert to fraction form
    9,354.76/12,910.80 = 6,520.30/x
  3. Step 3: Cross multiply
    9,354.76x = 12,910.80 × 6,520.30
  4. Step 4: Simplify right side
    9,354.76x = 84,182,289.24
  5. Step 5: Solve for x
    x = 84,182,289.24/9,354.76
  6. Step 6: Final answer
    x = 8,998.87

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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.