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Finding the Fourth Proportional to 9,768.67, 14,658.27 and 6,483.31

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Solution

The fourth proportional to 9,768.67, 14,658.27 and 6,483.31 is: 9,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.67 : 14,658.27 = 6,483.31 : x
  2. Step 2: Convert to fraction form
    9,768.67/14,658.27 = 6,483.31/x
  3. Step 3: Cross multiply
    9,768.67x = 14,658.27 × 6,483.31
  4. Step 4: Simplify right side
    9,768.67x = 95,034,108.47
  5. Step 5: Solve for x
    x = 95,034,108.47/9,768.67
  6. Step 6: Final answer
    x = 9,728.46

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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.