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Finding the Fourth Proportional to 9,075.92, 13,601.28 and 4,394

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Solution

The fourth proportional to 9,075.92, 13,601.28 and 4,394 is: 6,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.92 : 13,601.28 = 4,394 : x
  2. Step 2: Convert to fraction form
    9,075.92/13,601.28 = 4,394/x
  3. Step 3: Cross multiply
    9,075.92x = 13,601.28 × 4,394
  4. Step 4: Simplify right side
    9,075.92x = 59,764,024.32
  5. Step 5: Solve for x
    x = 59,764,024.32/9,075.92
  6. Step 6: Final answer
    x = 6,584.90

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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.