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Finding the Fourth Proportional to 9,765.72, 14,632.02 and 6,978.24

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Solution

The fourth proportional to 9,765.72, 14,632.02 and 6,978.24 is: 10,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.72 : 14,632.02 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    9,765.72/14,632.02 = 6,978.24/x
  3. Step 3: Cross multiply
    9,765.72x = 14,632.02 × 6,978.24
  4. Step 4: Simplify right side
    9,765.72x = 102,105,747.24
  5. Step 5: Solve for x
    x = 102,105,747.24/9,765.72
  6. Step 6: Final answer
    x = 10,455.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.