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Finding the Fourth Proportional to 9,501.39, 13,099.62 and 6,511.89

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Solution

The fourth proportional to 9,501.39, 13,099.62 and 6,511.89 is: 8,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.39 : 13,099.62 = 6,511.89 : x
  2. Step 2: Convert to fraction form
    9,501.39/13,099.62 = 6,511.89/x
  3. Step 3: Cross multiply
    9,501.39x = 13,099.62 × 6,511.89
  4. Step 4: Simplify right side
    9,501.39x = 85,303,284.48
  5. Step 5: Solve for x
    x = 85,303,284.48/9,501.39
  6. Step 6: Final answer
    x = 8,977.98

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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.