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Finding the Fourth Proportional to 9,663.92, 14,484.64 and 7,911.89

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Solution

The fourth proportional to 9,663.92, 14,484.64 and 7,911.89 is: 11,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.92 : 14,484.64 = 7,911.89 : x
  2. Step 2: Convert to fraction form
    9,663.92/14,484.64 = 7,911.89/x
  3. Step 3: Cross multiply
    9,663.92x = 14,484.64 × 7,911.89
  4. Step 4: Simplify right side
    9,663.92x = 114,600,878.37
  5. Step 5: Solve for x
    x = 114,600,878.37/9,663.92
  6. Step 6: Final answer
    x = 11,858.63

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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.