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Finding the Fourth Proportional to 7,101.32, 9,798.68 and 4,268.02

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Solution

The fourth proportional to 7,101.32, 9,798.68 and 4,268.02 is: 5,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.32 : 9,798.68 = 4,268.02 : x
  2. Step 2: Convert to fraction form
    7,101.32/9,798.68 = 4,268.02/x
  3. Step 3: Cross multiply
    7,101.32x = 9,798.68 × 4,268.02
  4. Step 4: Simplify right side
    7,101.32x = 41,820,948.39
  5. Step 5: Solve for x
    x = 41,820,948.39/7,101.32
  6. Step 6: Final answer
    x = 5,889.18

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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.