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Finding the Fourth Proportional to 9,412.94, 12,989.35 and 5,163.93

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Solution

The fourth proportional to 9,412.94, 12,989.35 and 5,163.93 is: 7,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.94 : 12,989.35 = 5,163.93 : x
  2. Step 2: Convert to fraction form
    9,412.94/12,989.35 = 5,163.93/x
  3. Step 3: Cross multiply
    9,412.94x = 12,989.35 × 5,163.93
  4. Step 4: Simplify right side
    9,412.94x = 67,076,094.15
  5. Step 5: Solve for x
    x = 67,076,094.15/9,412.94
  6. Step 6: Final answer
    x = 7,125.95

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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.