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Finding the Fourth Proportional to 12,117.06, 16,720.09 and 6,738.15

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Solution

The fourth proportional to 12,117.06, 16,720.09 and 6,738.15 is: 9,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.06 : 16,720.09 = 6,738.15 : x
  2. Step 2: Convert to fraction form
    12,117.06/16,720.09 = 6,738.15/x
  3. Step 3: Cross multiply
    12,117.06x = 16,720.09 × 6,738.15
  4. Step 4: Simplify right side
    12,117.06x = 112,662,457.59
  5. Step 5: Solve for x
    x = 112,662,457.59/12,117.06
  6. Step 6: Final answer
    x = 9,297.84

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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.