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Finding the Fourth Proportional to 10,297.72, 14,216.98 and 6,767.08

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Solution

The fourth proportional to 10,297.72, 14,216.98 and 6,767.08 is: 9,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.72 : 14,216.98 = 6,767.08 : x
  2. Step 2: Convert to fraction form
    10,297.72/14,216.98 = 6,767.08/x
  3. Step 3: Cross multiply
    10,297.72x = 14,216.98 × 6,767.08
  4. Step 4: Simplify right side
    10,297.72x = 96,207,441.02
  5. Step 5: Solve for x
    x = 96,207,441.02/10,297.72
  6. Step 6: Final answer
    x = 9,342.60

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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.