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Finding the Fourth Proportional to 9,866.55, 14,797.65 and 2,845.02

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Solution

The fourth proportional to 9,866.55, 14,797.65 and 2,845.02 is: 4,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.55 : 14,797.65 = 2,845.02 : x
  2. Step 2: Convert to fraction form
    9,866.55/14,797.65 = 2,845.02/x
  3. Step 3: Cross multiply
    9,866.55x = 14,797.65 × 2,845.02
  4. Step 4: Simplify right side
    9,866.55x = 42,099,610.20
  5. Step 5: Solve for x
    x = 42,099,610.20/9,866.55
  6. Step 6: Final answer
    x = 4,266.90

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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.