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Finding the Fourth Proportional to 9,754, 14,631.54 and 2,829.04

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Solution

The fourth proportional to 9,754, 14,631.54 and 2,829.04 is: 4,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 14,631.54 = 2,829.04 : x
  2. Step 2: Convert to fraction form
    9,754/14,631.54 = 2,829.04/x
  3. Step 3: Cross multiply
    9,754x = 14,631.54 × 2,829.04
  4. Step 4: Simplify right side
    9,754x = 41,393,211.92
  5. Step 5: Solve for x
    x = 41,393,211.92/9,754
  6. Step 6: Final answer
    x = 4,243.72

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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.