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Finding the Fourth Proportional to 9,347.87, 12,893.06 and 6,515.39

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Solution

The fourth proportional to 9,347.87, 12,893.06 and 6,515.39 is: 8,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.87 : 12,893.06 = 6,515.39 : x
  2. Step 2: Convert to fraction form
    9,347.87/12,893.06 = 6,515.39/x
  3. Step 3: Cross multiply
    9,347.87x = 12,893.06 × 6,515.39
  4. Step 4: Simplify right side
    9,347.87x = 84,003,281.62
  5. Step 5: Solve for x
    x = 84,003,281.62/9,347.87
  6. Step 6: Final answer
    x = 8,986.36

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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.