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Finding the Fourth Proportional to 9,765.43, 14,643.72 and 3,100.01

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Solution

The fourth proportional to 9,765.43, 14,643.72 and 3,100.01 is: 4,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.43 : 14,643.72 = 3,100.01 : x
  2. Step 2: Convert to fraction form
    9,765.43/14,643.72 = 3,100.01/x
  3. Step 3: Cross multiply
    9,765.43x = 14,643.72 × 3,100.01
  4. Step 4: Simplify right side
    9,765.43x = 45,395,678.44
  5. Step 5: Solve for x
    x = 45,395,678.44/9,765.43
  6. Step 6: Final answer
    x = 4,648.61

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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.