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Finding the Fourth Proportional to 9,430.83, 14,147.71 and 2,855.45

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Solution

The fourth proportional to 9,430.83, 14,147.71 and 2,855.45 is: 4,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.83 : 14,147.71 = 2,855.45 : x
  2. Step 2: Convert to fraction form
    9,430.83/14,147.71 = 2,855.45/x
  3. Step 3: Cross multiply
    9,430.83x = 14,147.71 × 2,855.45
  4. Step 4: Simplify right side
    9,430.83x = 40,397,993.50
  5. Step 5: Solve for x
    x = 40,397,993.50/9,430.83
  6. Step 6: Final answer
    x = 4,283.61

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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.