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Finding the Fourth Proportional to 9,915.77, 13,686.14 and 6,734.37

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Solution

The fourth proportional to 9,915.77, 13,686.14 and 6,734.37 is: 9,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.77 : 13,686.14 = 6,734.37 : x
  2. Step 2: Convert to fraction form
    9,915.77/13,686.14 = 6,734.37/x
  3. Step 3: Cross multiply
    9,915.77x = 13,686.14 × 6,734.37
  4. Step 4: Simplify right side
    9,915.77x = 92,167,530.63
  5. Step 5: Solve for x
    x = 92,167,530.63/9,915.77
  6. Step 6: Final answer
    x = 9,295.05

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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.