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Finding the Fourth Proportional to 9,586.31, 14,380.80 and 3,013.01

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Solution

The fourth proportional to 9,586.31, 14,380.80 and 3,013.01 is: 4,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.31 : 14,380.80 = 3,013.01 : x
  2. Step 2: Convert to fraction form
    9,586.31/14,380.80 = 3,013.01/x
  3. Step 3: Cross multiply
    9,586.31x = 14,380.80 × 3,013.01
  4. Step 4: Simplify right side
    9,586.31x = 43,329,494.21
  5. Step 5: Solve for x
    x = 43,329,494.21/9,586.31
  6. Step 6: Final answer
    x = 4,519.93

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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.