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Finding the Fourth Proportional to 9,617.02, 14,425.80 and 3,043.60

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Solution

The fourth proportional to 9,617.02, 14,425.80 and 3,043.60 is: 4,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.02 : 14,425.80 = 3,043.60 : x
  2. Step 2: Convert to fraction form
    9,617.02/14,425.80 = 3,043.60/x
  3. Step 3: Cross multiply
    9,617.02x = 14,425.80 × 3,043.60
  4. Step 4: Simplify right side
    9,617.02x = 43,906,364.88
  5. Step 5: Solve for x
    x = 43,906,364.88/9,617.02
  6. Step 6: Final answer
    x = 4,565.49

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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.