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Finding the Fourth Proportional to 9,765.24, 14,632.02 and 6,249.12

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Solution

The fourth proportional to 9,765.24, 14,632.02 and 6,249.12 is: 9,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.24 : 14,632.02 = 6,249.12 : x
  2. Step 2: Convert to fraction form
    9,765.24/14,632.02 = 6,249.12/x
  3. Step 3: Cross multiply
    9,765.24x = 14,632.02 × 6,249.12
  4. Step 4: Simplify right side
    9,765.24x = 91,437,248.82
  5. Step 5: Solve for x
    x = 91,437,248.82/9,765.24
  6. Step 6: Final answer
    x = 9,363.54

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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.