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Finding the Fourth Proportional to 9,704.84, 14,564.50 and 7,211.78

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Solution

The fourth proportional to 9,704.84, 14,564.50 and 7,211.78 is: 10,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.84 : 14,564.50 = 7,211.78 : x
  2. Step 2: Convert to fraction form
    9,704.84/14,564.50 = 7,211.78/x
  3. Step 3: Cross multiply
    9,704.84x = 14,564.50 × 7,211.78
  4. Step 4: Simplify right side
    9,704.84x = 105,035,878.96
  5. Step 5: Solve for x
    x = 105,035,878.96/9,704.84
  6. Step 6: Final answer
    x = 10,823.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.