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Finding the Fourth Proportional to 9,686.37, 14,524.51 and 3,445.48

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Solution

The fourth proportional to 9,686.37, 14,524.51 and 3,445.48 is: 5,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.37 : 14,524.51 = 3,445.48 : x
  2. Step 2: Convert to fraction form
    9,686.37/14,524.51 = 3,445.48/x
  3. Step 3: Cross multiply
    9,686.37x = 14,524.51 × 3,445.48
  4. Step 4: Simplify right side
    9,686.37x = 50,043,907.17
  5. Step 5: Solve for x
    x = 50,043,907.17/9,686.37
  6. Step 6: Final answer
    x = 5,166.42

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