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Finding the Fourth Proportional to 7,125.89, 9,833.65 and 3,982.07

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Solution

The fourth proportional to 7,125.89, 9,833.65 and 3,982.07 is: 5,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.89 : 9,833.65 = 3,982.07 : x
  2. Step 2: Convert to fraction form
    7,125.89/9,833.65 = 3,982.07/x
  3. Step 3: Cross multiply
    7,125.89x = 9,833.65 × 3,982.07
  4. Step 4: Simplify right side
    7,125.89x = 39,158,307.24
  5. Step 5: Solve for x
    x = 39,158,307.24/7,125.89
  6. Step 6: Final answer
    x = 5,495.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.