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Finding the Fourth Proportional to 6,318.96, 9,470.70 and 4,470.60

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Solution

The fourth proportional to 6,318.96, 9,470.70 and 4,470.60 is: 6,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.96 : 9,470.70 = 4,470.60 : x
  2. Step 2: Convert to fraction form
    6,318.96/9,470.70 = 4,470.60/x
  3. Step 3: Cross multiply
    6,318.96x = 9,470.70 × 4,470.60
  4. Step 4: Simplify right side
    6,318.96x = 42,339,711.42
  5. Step 5: Solve for x
    x = 42,339,711.42/6,318.96
  6. Step 6: Final answer
    x = 6,700.42

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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.