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Finding the Fourth Proportional to 9,628.24, 13,297.94 and 6,478.96

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Solution

The fourth proportional to 9,628.24, 13,297.94 and 6,478.96 is: 8,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.24 : 13,297.94 = 6,478.96 : x
  2. Step 2: Convert to fraction form
    9,628.24/13,297.94 = 6,478.96/x
  3. Step 3: Cross multiply
    9,628.24x = 13,297.94 × 6,478.96
  4. Step 4: Simplify right side
    9,628.24x = 86,156,821.34
  5. Step 5: Solve for x
    x = 86,156,821.34/9,628.24
  6. Step 6: Final answer
    x = 8,948.35

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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.