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Finding the Fourth Proportional to 9,576.84, 14,364.24 and 3,002.46

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Solution

The fourth proportional to 9,576.84, 14,364.24 and 3,002.46 is: 4,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.84 : 14,364.24 = 3,002.46 : x
  2. Step 2: Convert to fraction form
    9,576.84/14,364.24 = 3,002.46/x
  3. Step 3: Cross multiply
    9,576.84x = 14,364.24 × 3,002.46
  4. Step 4: Simplify right side
    9,576.84x = 43,128,056.03
  5. Step 5: Solve for x
    x = 43,128,056.03/9,576.84
  6. Step 6: Final answer
    x = 4,503.37

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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.