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Finding the Fourth Proportional to 9,163.34, 13,714.95 and 6,959.96

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Solution

The fourth proportional to 9,163.34, 13,714.95 and 6,959.96 is: 10,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.34 : 13,714.95 = 6,959.96 : x
  2. Step 2: Convert to fraction form
    9,163.34/13,714.95 = 6,959.96/x
  3. Step 3: Cross multiply
    9,163.34x = 13,714.95 × 6,959.96
  4. Step 4: Simplify right side
    9,163.34x = 95,455,503.40
  5. Step 5: Solve for x
    x = 95,455,503.40/9,163.34
  6. Step 6: Final answer
    x = 10,417.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.