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Finding the Fourth Proportional to 9,687.37, 14,526.01 and 3,446.48

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Solution

The fourth proportional to 9,687.37, 14,526.01 and 3,446.48 is: 5,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.37 : 14,526.01 = 3,446.48 : x
  2. Step 2: Convert to fraction form
    9,687.37/14,526.01 = 3,446.48/x
  3. Step 3: Cross multiply
    9,687.37x = 14,526.01 × 3,446.48
  4. Step 4: Simplify right side
    9,687.37x = 50,063,602.94
  5. Step 5: Solve for x
    x = 50,063,602.94/9,687.37
  6. Step 6: Final answer
    x = 5,167.93

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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.