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Finding the Fourth Proportional to 6,323.27, 9,477.61 and 4,678.46

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Solution

The fourth proportional to 6,323.27, 9,477.61 and 4,678.46 is: 7,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.27 : 9,477.61 = 4,678.46 : x
  2. Step 2: Convert to fraction form
    6,323.27/9,477.61 = 4,678.46/x
  3. Step 3: Cross multiply
    6,323.27x = 9,477.61 × 4,678.46
  4. Step 4: Simplify right side
    6,323.27x = 44,340,595.74
  5. Step 5: Solve for x
    x = 44,340,595.74/6,323.27
  6. Step 6: Final answer
    x = 7,012.29

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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.