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Finding the Fourth Proportional to 9,438.26, 13,017.93 and 6,450.98

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Solution

The fourth proportional to 9,438.26, 13,017.93 and 6,450.98 is: 8,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.26 : 13,017.93 = 6,450.98 : x
  2. Step 2: Convert to fraction form
    9,438.26/13,017.93 = 6,450.98/x
  3. Step 3: Cross multiply
    9,438.26x = 13,017.93 × 6,450.98
  4. Step 4: Simplify right side
    9,438.26x = 83,978,406.07
  5. Step 5: Solve for x
    x = 83,978,406.07/9,438.26
  6. Step 6: Final answer
    x = 8,897.66

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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.