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Finding the Fourth Proportional to 6,357.51, 9,529.38 and 2,661.75

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Solution

The fourth proportional to 6,357.51, 9,529.38 and 2,661.75 is: 3,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.51 : 9,529.38 = 2,661.75 : x
  2. Step 2: Convert to fraction form
    6,357.51/9,529.38 = 2,661.75/x
  3. Step 3: Cross multiply
    6,357.51x = 9,529.38 × 2,661.75
  4. Step 4: Simplify right side
    6,357.51x = 25,364,827.22
  5. Step 5: Solve for x
    x = 25,364,827.22/6,357.51
  6. Step 6: Final answer
    x = 3,989.74

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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.