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Finding the Fourth Proportional to 9,768.15, 14,650.38 and 4,765.50

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Solution

The fourth proportional to 9,768.15, 14,650.38 and 4,765.50 is: 7,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.15 : 14,650.38 = 4,765.50 : x
  2. Step 2: Convert to fraction form
    9,768.15/14,650.38 = 4,765.50/x
  3. Step 3: Cross multiply
    9,768.15x = 14,650.38 × 4,765.50
  4. Step 4: Simplify right side
    9,768.15x = 69,816,385.89
  5. Step 5: Solve for x
    x = 69,816,385.89/9,768.15
  6. Step 6: Final answer
    x = 7,147.35

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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.