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Finding the Fourth Proportional to 9,205.40, 12,704.70 and 5,479

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Solution

The fourth proportional to 9,205.40, 12,704.70 and 5,479 is: 7,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.40 : 12,704.70 = 5,479 : x
  2. Step 2: Convert to fraction form
    9,205.40/12,704.70 = 5,479/x
  3. Step 3: Cross multiply
    9,205.40x = 12,704.70 × 5,479
  4. Step 4: Simplify right side
    9,205.40x = 69,609,051.30
  5. Step 5: Solve for x
    x = 69,609,051.30/9,205.40
  6. Step 6: Final answer
    x = 7,561.76

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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.