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Finding the Fourth Proportional to 9,415.41, 12,993.40 and 5,166.89

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Solution

The fourth proportional to 9,415.41, 12,993.40 and 5,166.89 is: 7,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.41 : 12,993.40 = 5,166.89 : x
  2. Step 2: Convert to fraction form
    9,415.41/12,993.40 = 5,166.89/x
  3. Step 3: Cross multiply
    9,415.41x = 12,993.40 × 5,166.89
  4. Step 4: Simplify right side
    9,415.41x = 67,135,468.53
  5. Step 5: Solve for x
    x = 67,135,468.53/9,415.41
  6. Step 6: Final answer
    x = 7,130.39

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Why These Related Problems?

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