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Finding the Fourth Proportional to 9,572.77, 14,359.16 and 4,375

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Solution

The fourth proportional to 9,572.77, 14,359.16 and 4,375 is: 6,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.77 : 14,359.16 = 4,375 : x
  2. Step 2: Convert to fraction form
    9,572.77/14,359.16 = 4,375/x
  3. Step 3: Cross multiply
    9,572.77x = 14,359.16 × 4,375
  4. Step 4: Simplify right side
    9,572.77x = 62,821,325
  5. Step 5: Solve for x
    x = 62,821,325/9,572.77
  6. Step 6: Final answer
    x = 6,562.50

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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.