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Finding the Fourth Proportional to 9,128.40, 12,596.79 and 5,149.86

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Solution

The fourth proportional to 9,128.40, 12,596.79 and 5,149.86 is: 7,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.40 : 12,596.79 = 5,149.86 : x
  2. Step 2: Convert to fraction form
    9,128.40/12,596.79 = 5,149.86/x
  3. Step 3: Cross multiply
    9,128.40x = 12,596.79 × 5,149.86
  4. Step 4: Simplify right side
    9,128.40x = 64,871,704.95
  5. Step 5: Solve for x
    x = 64,871,704.95/9,128.40
  6. Step 6: Final answer
    x = 7,106.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.