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Finding the Fourth Proportional to 9,411.96, 12,988.65 and 5,163.39

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Solution

The fourth proportional to 9,411.96, 12,988.65 and 5,163.39 is: 7,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.96 : 12,988.65 = 5,163.39 : x
  2. Step 2: Convert to fraction form
    9,411.96/12,988.65 = 5,163.39/x
  3. Step 3: Cross multiply
    9,411.96x = 12,988.65 × 5,163.39
  4. Step 4: Simplify right side
    9,411.96x = 67,065,465.52
  5. Step 5: Solve for x
    x = 67,065,465.52/9,411.96
  6. Step 6: Final answer
    x = 7,125.56

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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.