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Finding the Fourth Proportional to 6,123.44, 9,184.52 and 3,002.24

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Solution

The fourth proportional to 6,123.44, 9,184.52 and 3,002.24 is: 4,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.44 : 9,184.52 = 3,002.24 : x
  2. Step 2: Convert to fraction form
    6,123.44/9,184.52 = 3,002.24/x
  3. Step 3: Cross multiply
    6,123.44x = 9,184.52 × 3,002.24
  4. Step 4: Simplify right side
    6,123.44x = 27,574,133.32
  5. Step 5: Solve for x
    x = 27,574,133.32/6,123.44
  6. Step 6: Final answer
    x = 4,503.05

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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.