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Finding the Fourth Proportional to 9,777.15, 14,667.53 and 3,203.69

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Solution

The fourth proportional to 9,777.15, 14,667.53 and 3,203.69 is: 4,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.15 : 14,667.53 = 3,203.69 : x
  2. Step 2: Convert to fraction form
    9,777.15/14,667.53 = 3,203.69/x
  3. Step 3: Cross multiply
    9,777.15x = 14,667.53 × 3,203.69
  4. Step 4: Simplify right side
    9,777.15x = 46,990,129.83
  5. Step 5: Solve for x
    x = 46,990,129.83/9,777.15
  6. Step 6: Final answer
    x = 4,806.12

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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.