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Finding the Fourth Proportional to 9,424.96, 13,005.84 and 5,887.96

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Solution

The fourth proportional to 9,424.96, 13,005.84 and 5,887.96 is: 8,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.96 : 13,005.84 = 5,887.96 : x
  2. Step 2: Convert to fraction form
    9,424.96/13,005.84 = 5,887.96/x
  3. Step 3: Cross multiply
    9,424.96x = 13,005.84 × 5,887.96
  4. Step 4: Simplify right side
    9,424.96x = 76,577,865.69
  5. Step 5: Solve for x
    x = 76,577,865.69/9,424.96
  6. Step 6: Final answer
    x = 8,125.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.