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Finding the Fourth Proportional to 9,849.88, 14,765.44 and 6,330

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Solution

The fourth proportional to 9,849.88, 14,765.44 and 6,330 is: 9,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.88 : 14,765.44 = 6,330 : x
  2. Step 2: Convert to fraction form
    9,849.88/14,765.44 = 6,330/x
  3. Step 3: Cross multiply
    9,849.88x = 14,765.44 × 6,330
  4. Step 4: Simplify right side
    9,849.88x = 93,465,235.20
  5. Step 5: Solve for x
    x = 93,465,235.20/9,849.88
  6. Step 6: Final answer
    x = 9,488.97

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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.