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Finding the Fourth Proportional to 9,648.66, 14,473.14 and 3,080.37

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Solution

The fourth proportional to 9,648.66, 14,473.14 and 3,080.37 is: 4,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.66 : 14,473.14 = 3,080.37 : x
  2. Step 2: Convert to fraction form
    9,648.66/14,473.14 = 3,080.37/x
  3. Step 3: Cross multiply
    9,648.66x = 14,473.14 × 3,080.37
  4. Step 4: Simplify right side
    9,648.66x = 44,582,626.26
  5. Step 5: Solve for x
    x = 44,582,626.26/9,648.66
  6. Step 6: Final answer
    x = 4,620.60

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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.