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Finding the Fourth Proportional to 9,839.16, 14,763.11 and 5,158.06

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Solution

The fourth proportional to 9,839.16, 14,763.11 and 5,158.06 is: 7,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.16 : 14,763.11 = 5,158.06 : x
  2. Step 2: Convert to fraction form
    9,839.16/14,763.11 = 5,158.06/x
  3. Step 3: Cross multiply
    9,839.16x = 14,763.11 × 5,158.06
  4. Step 4: Simplify right side
    9,839.16x = 76,149,007.17
  5. Step 5: Solve for x
    x = 76,149,007.17/9,839.16
  6. Step 6: Final answer
    x = 7,739.38

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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.