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Finding the Fourth Proportional to 7,139.09, 10,657.54 and 6,205.17

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Solution

The fourth proportional to 7,139.09, 10,657.54 and 6,205.17 is: 9,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.09 : 10,657.54 = 6,205.17 : x
  2. Step 2: Convert to fraction form
    7,139.09/10,657.54 = 6,205.17/x
  3. Step 3: Cross multiply
    7,139.09x = 10,657.54 × 6,205.17
  4. Step 4: Simplify right side
    7,139.09x = 66,131,816.46
  5. Step 5: Solve for x
    x = 66,131,816.46/7,139.09
  6. Step 6: Final answer
    x = 9,263.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.