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Finding the Fourth Proportional to 9,202.07, 13,782.99 and 7,116.59

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Solution

The fourth proportional to 9,202.07, 13,782.99 and 7,116.59 is: 10,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.07 : 13,782.99 = 7,116.59 : x
  2. Step 2: Convert to fraction form
    9,202.07/13,782.99 = 7,116.59/x
  3. Step 3: Cross multiply
    9,202.07x = 13,782.99 × 7,116.59
  4. Step 4: Simplify right side
    9,202.07x = 98,087,888.80
  5. Step 5: Solve for x
    x = 98,087,888.80/9,202.07
  6. Step 6: Final answer
    x = 10,659.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.