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Finding the Fourth Proportional to 6,046.41, 9,071.43 and 5,124.24

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Solution

The fourth proportional to 6,046.41, 9,071.43 and 5,124.24 is: 7,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.41 : 9,071.43 = 5,124.24 : x
  2. Step 2: Convert to fraction form
    6,046.41/9,071.43 = 5,124.24/x
  3. Step 3: Cross multiply
    6,046.41x = 9,071.43 × 5,124.24
  4. Step 4: Simplify right side
    6,046.41x = 46,484,184.46
  5. Step 5: Solve for x
    x = 46,484,184.46/6,046.41
  6. Step 6: Final answer
    x = 7,687.90

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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.