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Finding the Fourth Proportional to 6,525.66, 9,829.37 and 5,944.26

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Solution

The fourth proportional to 6,525.66, 9,829.37 and 5,944.26 is: 8,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.66 : 9,829.37 = 5,944.26 : x
  2. Step 2: Convert to fraction form
    6,525.66/9,829.37 = 5,944.26/x
  3. Step 3: Cross multiply
    6,525.66x = 9,829.37 × 5,944.26
  4. Step 4: Simplify right side
    6,525.66x = 58,428,301.19
  5. Step 5: Solve for x
    x = 58,428,301.19/6,525.66
  6. Step 6: Final answer
    x = 8,953.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.