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Finding the Fourth Proportional to 9,835.50, 14,757.78 and 4,567.14

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Solution

The fourth proportional to 9,835.50, 14,757.78 and 4,567.14 is: 6,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.50 : 14,757.78 = 4,567.14 : x
  2. Step 2: Convert to fraction form
    9,835.50/14,757.78 = 4,567.14/x
  3. Step 3: Cross multiply
    9,835.50x = 14,757.78 × 4,567.14
  4. Step 4: Simplify right side
    9,835.50x = 67,400,847.35
  5. Step 5: Solve for x
    x = 67,400,847.35/9,835.50
  6. Step 6: Final answer
    x = 6,852.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.