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Finding the Fourth Proportional to 12,264.13, 16,923.97 and 6,958.83

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Solution

The fourth proportional to 12,264.13, 16,923.97 and 6,958.83 is: 9,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.13 : 16,923.97 = 6,958.83 : x
  2. Step 2: Convert to fraction form
    12,264.13/16,923.97 = 6,958.83/x
  3. Step 3: Cross multiply
    12,264.13x = 16,923.97 × 6,958.83
  4. Step 4: Simplify right side
    12,264.13x = 117,771,030.16
  5. Step 5: Solve for x
    x = 117,771,030.16/12,264.13
  6. Step 6: Final answer
    x = 9,602.89

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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.