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Finding the Fourth Proportional to 9,500.89, 13,098.93 and 6,511.38

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Solution

The fourth proportional to 9,500.89, 13,098.93 and 6,511.38 is: 8,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.89 : 13,098.93 = 6,511.38 : x
  2. Step 2: Convert to fraction form
    9,500.89/13,098.93 = 6,511.38/x
  3. Step 3: Cross multiply
    9,500.89x = 13,098.93 × 6,511.38
  4. Step 4: Simplify right side
    9,500.89x = 85,292,110.82
  5. Step 5: Solve for x
    x = 85,292,110.82/9,500.89
  6. Step 6: Final answer
    x = 8,977.28

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Why These Related Problems?

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