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Finding the Fourth Proportional to 9,704.19, 13,396.88 and 6,534.15

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Solution

The fourth proportional to 9,704.19, 13,396.88 and 6,534.15 is: 9,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.19 : 13,396.88 = 6,534.15 : x
  2. Step 2: Convert to fraction form
    9,704.19/13,396.88 = 6,534.15/x
  3. Step 3: Cross multiply
    9,704.19x = 13,396.88 × 6,534.15
  4. Step 4: Simplify right side
    9,704.19x = 87,537,190.78
  5. Step 5: Solve for x
    x = 87,537,190.78/9,704.19
  6. Step 6: Final answer
    x = 9,020.56

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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.