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Finding the Fourth Proportional to 9,586.81, 14,381.55 and 3,013.51

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Solution

The fourth proportional to 9,586.81, 14,381.55 and 3,013.51 is: 4,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.81 : 14,381.55 = 3,013.51 : x
  2. Step 2: Convert to fraction form
    9,586.81/14,381.55 = 3,013.51/x
  3. Step 3: Cross multiply
    9,586.81x = 14,381.55 × 3,013.51
  4. Step 4: Simplify right side
    9,586.81x = 43,338,944.74
  5. Step 5: Solve for x
    x = 43,338,944.74/9,586.81
  6. Step 6: Final answer
    x = 4,520.68

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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.