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Finding the Fourth Proportional to 9,641.02, 14,461.80 and 3,067.60

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Solution

The fourth proportional to 9,641.02, 14,461.80 and 3,067.60 is: 4,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.02 : 14,461.80 = 3,067.60 : x
  2. Step 2: Convert to fraction form
    9,641.02/14,461.80 = 3,067.60/x
  3. Step 3: Cross multiply
    9,641.02x = 14,461.80 × 3,067.60
  4. Step 4: Simplify right side
    9,641.02x = 44,363,017.68
  5. Step 5: Solve for x
    x = 44,363,017.68/9,641.02
  6. Step 6: Final answer
    x = 4,601.49

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Why These Related Problems?

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