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Finding the Fourth Proportional to 6,424, 9,639.60 and 6,375.04

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Solution

The fourth proportional to 6,424, 9,639.60 and 6,375.04 is: 9,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 9,639.60 = 6,375.04 : x
  2. Step 2: Convert to fraction form
    6,424/9,639.60 = 6,375.04/x
  3. Step 3: Cross multiply
    6,424x = 9,639.60 × 6,375.04
  4. Step 4: Simplify right side
    6,424x = 61,452,835.58
  5. Step 5: Solve for x
    x = 61,452,835.58/6,424
  6. Step 6: Final answer
    x = 9,566.13

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