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Finding the Fourth Proportional to 6,861.55, 9,459.23 and 4,871.38

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Solution

The fourth proportional to 6,861.55, 9,459.23 and 4,871.38 is: 6,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.55 : 9,459.23 = 4,871.38 : x
  2. Step 2: Convert to fraction form
    6,861.55/9,459.23 = 4,871.38/x
  3. Step 3: Cross multiply
    6,861.55x = 9,459.23 × 4,871.38
  4. Step 4: Simplify right side
    6,861.55x = 46,079,503.84
  5. Step 5: Solve for x
    x = 46,079,503.84/6,861.55
  6. Step 6: Final answer
    x = 6,715.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.