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Finding the Fourth Proportional to 6,839.62, 9,437.00 and 4,566.47

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Solution

The fourth proportional to 6,839.62, 9,437.00 and 4,566.47 is: 6,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.62 : 9,437.00 = 4,566.47 : x
  2. Step 2: Convert to fraction form
    6,839.62/9,437.00 = 4,566.47/x
  3. Step 3: Cross multiply
    6,839.62x = 9,437.00 × 4,566.47
  4. Step 4: Simplify right side
    6,839.62x = 43,093,707.37
  5. Step 5: Solve for x
    x = 43,093,707.37/6,839.62
  6. Step 6: Final answer
    x = 6,300.60

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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.