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Finding the Fourth Proportional to 10,194.27, 14,055.07 and 6,602.89

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Solution

The fourth proportional to 10,194.27, 14,055.07 and 6,602.89 is: 9,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.27 : 14,055.07 = 6,602.89 : x
  2. Step 2: Convert to fraction form
    10,194.27/14,055.07 = 6,602.89/x
  3. Step 3: Cross multiply
    10,194.27x = 14,055.07 × 6,602.89
  4. Step 4: Simplify right side
    10,194.27x = 92,804,081.15
  5. Step 5: Solve for x
    x = 92,804,081.15/10,194.27
  6. Step 6: Final answer
    x = 9,103.55

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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.