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Finding the Fourth Proportional to 9,765.46, 14,650.35 and 2,840.50

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Solution

The fourth proportional to 9,765.46, 14,650.35 and 2,840.50 is: 4,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.46 : 14,650.35 = 2,840.50 : x
  2. Step 2: Convert to fraction form
    9,765.46/14,650.35 = 2,840.50/x
  3. Step 3: Cross multiply
    9,765.46x = 14,650.35 × 2,840.50
  4. Step 4: Simplify right side
    9,765.46x = 41,614,319.18
  5. Step 5: Solve for x
    x = 41,614,319.18/9,765.46
  6. Step 6: Final answer
    x = 4,261.38

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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.