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Finding the Fourth Proportional to 7,049.46, 9,732.24 and 4,814.58

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Solution

The fourth proportional to 7,049.46, 9,732.24 and 4,814.58 is: 6,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.46 : 9,732.24 = 4,814.58 : x
  2. Step 2: Convert to fraction form
    7,049.46/9,732.24 = 4,814.58/x
  3. Step 3: Cross multiply
    7,049.46x = 9,732.24 × 4,814.58
  4. Step 4: Simplify right side
    7,049.46x = 46,856,648.06
  5. Step 5: Solve for x
    x = 46,856,648.06/7,049.46
  6. Step 6: Final answer
    x = 6,646.84

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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.