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Finding the Fourth Proportional to 9,641.07, 14,461.34 and 3,067.65

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Solution

The fourth proportional to 9,641.07, 14,461.34 and 3,067.65 is: 4,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.07 : 14,461.34 = 3,067.65 : x
  2. Step 2: Convert to fraction form
    9,641.07/14,461.34 = 3,067.65/x
  3. Step 3: Cross multiply
    9,641.07x = 14,461.34 × 3,067.65
  4. Step 4: Simplify right side
    9,641.07x = 44,362,314.31
  5. Step 5: Solve for x
    x = 44,362,314.31/9,641.07
  6. Step 6: Final answer
    x = 4,601.39

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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.