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Finding the Fourth Proportional to 6,342.66, 9,513.96 and 1,725.66

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Solution

The fourth proportional to 6,342.66, 9,513.96 and 1,725.66 is: 2,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.66 : 9,513.96 = 1,725.66 : x
  2. Step 2: Convert to fraction form
    6,342.66/9,513.96 = 1,725.66/x
  3. Step 3: Cross multiply
    6,342.66x = 9,513.96 × 1,725.66
  4. Step 4: Simplify right side
    6,342.66x = 16,417,860.21
  5. Step 5: Solve for x
    x = 16,417,860.21/6,342.66
  6. Step 6: Final answer
    x = 2,588.48

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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.