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Finding the Fourth Proportional to 9,635.04, 13,294.96 and 5,859

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Solution

The fourth proportional to 9,635.04, 13,294.96 and 5,859 is: 8,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.04 : 13,294.96 = 5,859 : x
  2. Step 2: Convert to fraction form
    9,635.04/13,294.96 = 5,859/x
  3. Step 3: Cross multiply
    9,635.04x = 13,294.96 × 5,859
  4. Step 4: Simplify right side
    9,635.04x = 77,895,170.64
  5. Step 5: Solve for x
    x = 77,895,170.64/9,635.04
  6. Step 6: Final answer
    x = 8,084.57

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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.