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Finding the Fourth Proportional to 9,506.79, 14,256.54 and 6,576.21

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Solution

The fourth proportional to 9,506.79, 14,256.54 and 6,576.21 is: 9,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.79 : 14,256.54 = 6,576.21 : x
  2. Step 2: Convert to fraction form
    9,506.79/14,256.54 = 6,576.21/x
  3. Step 3: Cross multiply
    9,506.79x = 14,256.54 × 6,576.21
  4. Step 4: Simplify right side
    9,506.79x = 93,754,000.91
  5. Step 5: Solve for x
    x = 93,754,000.91/9,506.79
  6. Step 6: Final answer
    x = 9,861.79

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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.