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Finding the Fourth Proportional to 9,678.96, 14,518.44 and 6,762.96

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Solution

The fourth proportional to 9,678.96, 14,518.44 and 6,762.96 is: 10,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.96 : 14,518.44 = 6,762.96 : x
  2. Step 2: Convert to fraction form
    9,678.96/14,518.44 = 6,762.96/x
  3. Step 3: Cross multiply
    9,678.96x = 14,518.44 × 6,762.96
  4. Step 4: Simplify right side
    9,678.96x = 98,187,628.98
  5. Step 5: Solve for x
    x = 98,187,628.98/9,678.96
  6. Step 6: Final answer
    x = 10,144.44

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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.