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Finding the Fourth Proportional to 9,884.61, 14,829.03 and 3,644.64

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Solution

The fourth proportional to 9,884.61, 14,829.03 and 3,644.64 is: 5,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.61 : 14,829.03 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    9,884.61/14,829.03 = 3,644.64/x
  3. Step 3: Cross multiply
    9,884.61x = 14,829.03 × 3,644.64
  4. Step 4: Simplify right side
    9,884.61x = 54,046,475.90
  5. Step 5: Solve for x
    x = 54,046,475.90/9,884.61
  6. Step 6: Final answer
    x = 5,467.74

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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.