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Finding the Fourth Proportional to 6,331.42, 9,483.02 and 4,476.93

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Solution

The fourth proportional to 6,331.42, 9,483.02 and 4,476.93 is: 6,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.42 : 9,483.02 = 4,476.93 : x
  2. Step 2: Convert to fraction form
    6,331.42/9,483.02 = 4,476.93/x
  3. Step 3: Cross multiply
    6,331.42x = 9,483.02 × 4,476.93
  4. Step 4: Simplify right side
    6,331.42x = 42,454,816.73
  5. Step 5: Solve for x
    x = 42,454,816.73/6,331.42
  6. Step 6: Final answer
    x = 6,705.42

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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.