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Finding the Fourth Proportional to 10,446, 14,407.32 and 6,469.32

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Solution

The fourth proportional to 10,446, 14,407.32 and 6,469.32 is: 8,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 14,407.32 = 6,469.32 : x
  2. Step 2: Convert to fraction form
    10,446/14,407.32 = 6,469.32/x
  3. Step 3: Cross multiply
    10,446x = 14,407.32 × 6,469.32
  4. Step 4: Simplify right side
    10,446x = 93,205,563.42
  5. Step 5: Solve for x
    x = 93,205,563.42/10,446
  6. Step 6: Final answer
    x = 8,922.61

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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.