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Finding the Fourth Proportional to 9,778.12, 14,650.14 and 8,145.16

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Solution

The fourth proportional to 9,778.12, 14,650.14 and 8,145.16 is: 12,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.12 : 14,650.14 = 8,145.16 : x
  2. Step 2: Convert to fraction form
    9,778.12/14,650.14 = 8,145.16/x
  3. Step 3: Cross multiply
    9,778.12x = 14,650.14 × 8,145.16
  4. Step 4: Simplify right side
    9,778.12x = 119,327,734.32
  5. Step 5: Solve for x
    x = 119,327,734.32/9,778.12
  6. Step 6: Final answer
    x = 12,203.55

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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.