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Finding the Fourth Proportional to 6,602.99, 9,114.83 and 4,084.29

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Solution

The fourth proportional to 6,602.99, 9,114.83 and 4,084.29 is: 5,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.99 : 9,114.83 = 4,084.29 : x
  2. Step 2: Convert to fraction form
    6,602.99/9,114.83 = 4,084.29/x
  3. Step 3: Cross multiply
    6,602.99x = 9,114.83 × 4,084.29
  4. Step 4: Simplify right side
    6,602.99x = 37,227,603.92
  5. Step 5: Solve for x
    x = 37,227,603.92/6,602.99
  6. Step 6: Final answer
    x = 5,638.00

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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.