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Finding the Fourth Proportional to 9,636.09, 13,294.49 and 5,858.07

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Solution

The fourth proportional to 9,636.09, 13,294.49 and 5,858.07 is: 8,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.09 : 13,294.49 = 5,858.07 : x
  2. Step 2: Convert to fraction form
    9,636.09/13,294.49 = 5,858.07/x
  3. Step 3: Cross multiply
    9,636.09x = 13,294.49 × 5,858.07
  4. Step 4: Simplify right side
    9,636.09x = 77,880,023.74
  5. Step 5: Solve for x
    x = 77,880,023.74/9,636.09
  6. Step 6: Final answer
    x = 8,082.12

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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.