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Finding the Fourth Proportional to 10,297.96, 14,207.46 and 6,763.08

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Solution

The fourth proportional to 10,297.96, 14,207.46 and 6,763.08 is: 9,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.96 : 14,207.46 = 6,763.08 : x
  2. Step 2: Convert to fraction form
    10,297.96/14,207.46 = 6,763.08/x
  3. Step 3: Cross multiply
    10,297.96x = 14,207.46 × 6,763.08
  4. Step 4: Simplify right side
    10,297.96x = 96,086,188.58
  5. Step 5: Solve for x
    x = 96,086,188.58/10,297.96
  6. Step 6: Final answer
    x = 9,330.60

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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.