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Finding the Fourth Proportional to 6,984, 9,639.60 and 4,329.72

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Solution

The fourth proportional to 6,984, 9,639.60 and 4,329.72 is: 5,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,639.60 = 4,329.72 : x
  2. Step 2: Convert to fraction form
    6,984/9,639.60 = 4,329.72/x
  3. Step 3: Cross multiply
    6,984x = 9,639.60 × 4,329.72
  4. Step 4: Simplify right side
    6,984x = 41,736,768.91
  5. Step 5: Solve for x
    x = 41,736,768.91/6,984
  6. Step 6: Final answer
    x = 5,976.06

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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.