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Finding the Fourth Proportional to 9,153.96, 13,731 and 2,228.46

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Solution

The fourth proportional to 9,153.96, 13,731 and 2,228.46 is: 3,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.96 : 13,731 = 2,228.46 : x
  2. Step 2: Convert to fraction form
    9,153.96/13,731 = 2,228.46/x
  3. Step 3: Cross multiply
    9,153.96x = 13,731 × 2,228.46
  4. Step 4: Simplify right side
    9,153.96x = 30,598,984.26
  5. Step 5: Solve for x
    x = 30,598,984.26/9,153.96
  6. Step 6: Final answer
    x = 3,342.70

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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.