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Finding the Fourth Proportional to 10,362.66, 14,241.54 and 9,706.56

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Solution

The fourth proportional to 10,362.66, 14,241.54 and 9,706.56 is: 13,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.66 : 14,241.54 = 9,706.56 : x
  2. Step 2: Convert to fraction form
    10,362.66/14,241.54 = 9,706.56/x
  3. Step 3: Cross multiply
    10,362.66x = 14,241.54 × 9,706.56
  4. Step 4: Simplify right side
    10,362.66x = 138,236,362.50
  5. Step 5: Solve for x
    x = 138,236,362.50/10,362.66
  6. Step 6: Final answer
    x = 13,339.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.