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Finding the Fourth Proportional to 9,725.45, 14,586.80 and 5,551.93

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Solution

The fourth proportional to 9,725.45, 14,586.80 and 5,551.93 is: 8,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.45 : 14,586.80 = 5,551.93 : x
  2. Step 2: Convert to fraction form
    9,725.45/14,586.80 = 5,551.93/x
  3. Step 3: Cross multiply
    9,725.45x = 14,586.80 × 5,551.93
  4. Step 4: Simplify right side
    9,725.45x = 80,984,892.52
  5. Step 5: Solve for x
    x = 80,984,892.52/9,725.45
  6. Step 6: Final answer
    x = 8,327.11

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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.