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Finding the Fourth Proportional to 9,658.22, 14,478.08 and 3,080.15

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Solution

The fourth proportional to 9,658.22, 14,478.08 and 3,080.15 is: 4,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.22 : 14,478.08 = 3,080.15 : x
  2. Step 2: Convert to fraction form
    9,658.22/14,478.08 = 3,080.15/x
  3. Step 3: Cross multiply
    9,658.22x = 14,478.08 × 3,080.15
  4. Step 4: Simplify right side
    9,658.22x = 44,594,585.72
  5. Step 5: Solve for x
    x = 44,594,585.72/9,658.22
  6. Step 6: Final answer
    x = 4,617.27

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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.