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Finding the Fourth Proportional to 6,719.76, 9,270.72 and 4,626.72

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Solution

The fourth proportional to 6,719.76, 9,270.72 and 4,626.72 is: 6,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.76 : 9,270.72 = 4,626.72 : x
  2. Step 2: Convert to fraction form
    6,719.76/9,270.72 = 4,626.72/x
  3. Step 3: Cross multiply
    6,719.76x = 9,270.72 × 4,626.72
  4. Step 4: Simplify right side
    6,719.76x = 42,893,025.64
  5. Step 5: Solve for x
    x = 42,893,025.64/6,719.76
  6. Step 6: Final answer
    x = 6,383.12

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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.