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Finding the Fourth Proportional to 7,099.48, 9,796.02 and 3,955

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Solution

The fourth proportional to 7,099.48, 9,796.02 and 3,955 is: 5,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.48 : 9,796.02 = 3,955 : x
  2. Step 2: Convert to fraction form
    7,099.48/9,796.02 = 3,955/x
  3. Step 3: Cross multiply
    7,099.48x = 9,796.02 × 3,955
  4. Step 4: Simplify right side
    7,099.48x = 38,743,259.10
  5. Step 5: Solve for x
    x = 38,743,259.10/7,099.48
  6. Step 6: Final answer
    x = 5,457.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.