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Finding the Fourth Proportional to 6,384, 9,566.73 and 4,538.82

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Solution

The fourth proportional to 6,384, 9,566.73 and 4,538.82 is: 6,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,566.73 = 4,538.82 : x
  2. Step 2: Convert to fraction form
    6,384/9,566.73 = 4,538.82/x
  3. Step 3: Cross multiply
    6,384x = 9,566.73 × 4,538.82
  4. Step 4: Simplify right side
    6,384x = 43,421,665.46
  5. Step 5: Solve for x
    x = 43,421,665.46/6,384
  6. Step 6: Final answer
    x = 6,801.64

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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.