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Finding the Fourth Proportional to 7,130.83, 9,840.38 and 3,944.04

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Solution

The fourth proportional to 7,130.83, 9,840.38 and 3,944.04 is: 5,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.83 : 9,840.38 = 3,944.04 : x
  2. Step 2: Convert to fraction form
    7,130.83/9,840.38 = 3,944.04/x
  3. Step 3: Cross multiply
    7,130.83x = 9,840.38 × 3,944.04
  4. Step 4: Simplify right side
    7,130.83x = 38,810,869.52
  5. Step 5: Solve for x
    x = 38,810,869.52/7,130.83
  6. Step 6: Final answer
    x = 5,442.69

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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.