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Finding the Fourth Proportional to 6,588.14, 9,871.23 and 4,636.24

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Solution

The fourth proportional to 6,588.14, 9,871.23 and 4,636.24 is: 6,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.14 : 9,871.23 = 4,636.24 : x
  2. Step 2: Convert to fraction form
    6,588.14/9,871.23 = 4,636.24/x
  3. Step 3: Cross multiply
    6,588.14x = 9,871.23 × 4,636.24
  4. Step 4: Simplify right side
    6,588.14x = 45,765,391.38
  5. Step 5: Solve for x
    x = 45,765,391.38/6,588.14
  6. Step 6: Final answer
    x = 6,946.63

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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.