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Finding the Fourth Proportional to 9,470.34, 14,202.09 and 2,804.85

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Solution

The fourth proportional to 9,470.34, 14,202.09 and 2,804.85 is: 4,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.34 : 14,202.09 = 2,804.85 : x
  2. Step 2: Convert to fraction form
    9,470.34/14,202.09 = 2,804.85/x
  3. Step 3: Cross multiply
    9,470.34x = 14,202.09 × 2,804.85
  4. Step 4: Simplify right side
    9,470.34x = 39,834,732.14
  5. Step 5: Solve for x
    x = 39,834,732.14/9,470.34
  6. Step 6: Final answer
    x = 4,206.26

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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.