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Finding the Fourth Proportional to 9,412.89, 12,988.94 and 5,163.77

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Solution

The fourth proportional to 9,412.89, 12,988.94 and 5,163.77 is: 7,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.89 : 12,988.94 = 5,163.77 : x
  2. Step 2: Convert to fraction form
    9,412.89/12,988.94 = 5,163.77/x
  3. Step 3: Cross multiply
    9,412.89x = 12,988.94 × 5,163.77
  4. Step 4: Simplify right side
    9,412.89x = 67,071,807.94
  5. Step 5: Solve for x
    x = 67,071,807.94/9,412.89
  6. Step 6: Final answer
    x = 7,125.53

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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.