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Finding the Fourth Proportional to 9,393.93, 14,091 and 2,468.43

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Solution

The fourth proportional to 9,393.93, 14,091 and 2,468.43 is: 3,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.93 : 14,091 = 2,468.43 : x
  2. Step 2: Convert to fraction form
    9,393.93/14,091 = 2,468.43/x
  3. Step 3: Cross multiply
    9,393.93x = 14,091 × 2,468.43
  4. Step 4: Simplify right side
    9,393.93x = 34,782,647.13
  5. Step 5: Solve for x
    x = 34,782,647.13/9,393.93
  6. Step 6: Final answer
    x = 3,702.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.