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Finding the Fourth Proportional to 6,497.55, 8,964.22 and 4,260.67

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Solution

The fourth proportional to 6,497.55, 8,964.22 and 4,260.67 is: 5,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.55 : 8,964.22 = 4,260.67 : x
  2. Step 2: Convert to fraction form
    6,497.55/8,964.22 = 4,260.67/x
  3. Step 3: Cross multiply
    6,497.55x = 8,964.22 × 4,260.67
  4. Step 4: Simplify right side
    6,497.55x = 38,193,558.15
  5. Step 5: Solve for x
    x = 38,193,558.15/6,497.55
  6. Step 6: Final answer
    x = 5,878.15

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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.