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Finding the Fourth Proportional to 9,209.68, 12,704.10 and 5,670.40

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Solution

The fourth proportional to 9,209.68, 12,704.10 and 5,670.40 is: 7,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.68 : 12,704.10 = 5,670.40 : x
  2. Step 2: Convert to fraction form
    9,209.68/12,704.10 = 5,670.40/x
  3. Step 3: Cross multiply
    9,209.68x = 12,704.10 × 5,670.40
  4. Step 4: Simplify right side
    9,209.68x = 72,037,328.64
  5. Step 5: Solve for x
    x = 72,037,328.64/9,209.68
  6. Step 6: Final answer
    x = 7,821.91

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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.