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Finding the Fourth Proportional to 7,087.02, 9,779.83 and 3,943.14

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Solution

The fourth proportional to 7,087.02, 9,779.83 and 3,943.14 is: 5,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.02 : 9,779.83 = 3,943.14 : x
  2. Step 2: Convert to fraction form
    7,087.02/9,779.83 = 3,943.14/x
  3. Step 3: Cross multiply
    7,087.02x = 9,779.83 × 3,943.14
  4. Step 4: Simplify right side
    7,087.02x = 38,563,238.87
  5. Step 5: Solve for x
    x = 38,563,238.87/7,087.02
  6. Step 6: Final answer
    x = 5,441.39

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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.