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Finding the Fourth Proportional to 6,331.94, 9,488.10 and 4,770.26

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Solution

The fourth proportional to 6,331.94, 9,488.10 and 4,770.26 is: 7,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.94 : 9,488.10 = 4,770.26 : x
  2. Step 2: Convert to fraction form
    6,331.94/9,488.10 = 4,770.26/x
  3. Step 3: Cross multiply
    6,331.94x = 9,488.10 × 4,770.26
  4. Step 4: Simplify right side
    6,331.94x = 45,260,703.91
  5. Step 5: Solve for x
    x = 45,260,703.91/6,331.94
  6. Step 6: Final answer
    x = 7,148.00

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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.