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Finding the Fourth Proportional to 9,099.92, 12,560.04 and 5,786

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Solution

The fourth proportional to 9,099.92, 12,560.04 and 5,786 is: 7,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.92 : 12,560.04 = 5,786 : x
  2. Step 2: Convert to fraction form
    9,099.92/12,560.04 = 5,786/x
  3. Step 3: Cross multiply
    9,099.92x = 12,560.04 × 5,786
  4. Step 4: Simplify right side
    9,099.92x = 72,672,391.44
  5. Step 5: Solve for x
    x = 72,672,391.44/9,099.92
  6. Step 6: Final answer
    x = 7,986.05

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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.