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Finding the Fourth Proportional to 9,503.76, 14,250 and 2,928

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Solution

The fourth proportional to 9,503.76, 14,250 and 2,928 is: 4,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.76 : 14,250 = 2,928 : x
  2. Step 2: Convert to fraction form
    9,503.76/14,250 = 2,928/x
  3. Step 3: Cross multiply
    9,503.76x = 14,250 × 2,928
  4. Step 4: Simplify right side
    9,503.76x = 41,724,000
  5. Step 5: Solve for x
    x = 41,724,000/9,503.76
  6. Step 6: Final answer
    x = 4,390.26

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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.