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Finding the Fourth Proportional to 12,314.22, 16,991.64 and 7,009.12

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Solution

The fourth proportional to 12,314.22, 16,991.64 and 7,009.12 is: 9,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.22 : 16,991.64 = 7,009.12 : x
  2. Step 2: Convert to fraction form
    12,314.22/16,991.64 = 7,009.12/x
  3. Step 3: Cross multiply
    12,314.22x = 16,991.64 × 7,009.12
  4. Step 4: Simplify right side
    12,314.22x = 119,096,443.76
  5. Step 5: Solve for x
    x = 119,096,443.76/12,314.22
  6. Step 6: Final answer
    x = 9,671.46

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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.