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Finding the Fourth Proportional to 9,580.32, 14,373 and 3,006.72

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Solution

The fourth proportional to 9,580.32, 14,373 and 3,006.72 is: 4,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.32 : 14,373 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    9,580.32/14,373 = 3,006.72/x
  3. Step 3: Cross multiply
    9,580.32x = 14,373 × 3,006.72
  4. Step 4: Simplify right side
    9,580.32x = 43,215,586.56
  5. Step 5: Solve for x
    x = 43,215,586.56/9,580.32
  6. Step 6: Final answer
    x = 4,510.87

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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.