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Finding the Fourth Proportional to 6,501.14, 8,971.16 and 3,668.96

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Solution

The fourth proportional to 6,501.14, 8,971.16 and 3,668.96 is: 5,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.14 : 8,971.16 = 3,668.96 : x
  2. Step 2: Convert to fraction form
    6,501.14/8,971.16 = 3,668.96/x
  3. Step 3: Cross multiply
    6,501.14x = 8,971.16 × 3,668.96
  4. Step 4: Simplify right side
    6,501.14x = 32,914,827.19
  5. Step 5: Solve for x
    x = 32,914,827.19/6,501.14
  6. Step 6: Final answer
    x = 5,062.93

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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.