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Finding the Fourth Proportional to 9,270.41, 13,902.70 and 3,029.00

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Solution

The fourth proportional to 9,270.41, 13,902.70 and 3,029.00 is: 4,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.41 : 13,902.70 = 3,029.00 : x
  2. Step 2: Convert to fraction form
    9,270.41/13,902.70 = 3,029.00/x
  3. Step 3: Cross multiply
    9,270.41x = 13,902.70 × 3,029.00
  4. Step 4: Simplify right side
    9,270.41x = 42,111,208.79
  5. Step 5: Solve for x
    x = 42,111,208.79/9,270.41
  6. Step 6: Final answer
    x = 4,542.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.