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Finding the Fourth Proportional to 6,123.94, 9,184.47 and 3,045.22

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Solution

The fourth proportional to 6,123.94, 9,184.47 and 3,045.22 is: 4,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.94 : 9,184.47 = 3,045.22 : x
  2. Step 2: Convert to fraction form
    6,123.94/9,184.47 = 3,045.22/x
  3. Step 3: Cross multiply
    6,123.94x = 9,184.47 × 3,045.22
  4. Step 4: Simplify right side
    6,123.94x = 27,968,731.73
  5. Step 5: Solve for x
    x = 27,968,731.73/6,123.94
  6. Step 6: Final answer
    x = 4,567.11

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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.