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Finding the Fourth Proportional to 9,765.15, 14,646.12 and 2,745.64

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Solution

The fourth proportional to 9,765.15, 14,646.12 and 2,745.64 is: 4,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.15 : 14,646.12 = 2,745.64 : x
  2. Step 2: Convert to fraction form
    9,765.15/14,646.12 = 2,745.64/x
  3. Step 3: Cross multiply
    9,765.15x = 14,646.12 × 2,745.64
  4. Step 4: Simplify right side
    9,765.15x = 40,212,972.92
  5. Step 5: Solve for x
    x = 40,212,972.92/9,765.15
  6. Step 6: Final answer
    x = 4,118.01

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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.