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Finding the Fourth Proportional to 9,532.50, 14,300.91 and 3,376.50

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Solution

The fourth proportional to 9,532.50, 14,300.91 and 3,376.50 is: 5,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.50 : 14,300.91 = 3,376.50 : x
  2. Step 2: Convert to fraction form
    9,532.50/14,300.91 = 3,376.50/x
  3. Step 3: Cross multiply
    9,532.50x = 14,300.91 × 3,376.50
  4. Step 4: Simplify right side
    9,532.50x = 48,287,022.62
  5. Step 5: Solve for x
    x = 48,287,022.62/9,532.50
  6. Step 6: Final answer
    x = 5,065.52

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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.