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Finding the Fourth Proportional to 9,796.95, 14,699.95 and 3,558.13

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Solution

The fourth proportional to 9,796.95, 14,699.95 and 3,558.13 is: 5,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.95 : 14,699.95 = 3,558.13 : x
  2. Step 2: Convert to fraction form
    9,796.95/14,699.95 = 3,558.13/x
  3. Step 3: Cross multiply
    9,796.95x = 14,699.95 × 3,558.13
  4. Step 4: Simplify right side
    9,796.95x = 52,304,287.45
  5. Step 5: Solve for x
    x = 52,304,287.45/9,796.95
  6. Step 6: Final answer
    x = 5,338.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.