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Finding the Fourth Proportional to 9,133.76, 13,692.44 and 4,754.30

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Solution

The fourth proportional to 9,133.76, 13,692.44 and 4,754.30 is: 7,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.76 : 13,692.44 = 4,754.30 : x
  2. Step 2: Convert to fraction form
    9,133.76/13,692.44 = 4,754.30/x
  3. Step 3: Cross multiply
    9,133.76x = 13,692.44 × 4,754.30
  4. Step 4: Simplify right side
    9,133.76x = 65,097,910.92
  5. Step 5: Solve for x
    x = 65,097,910.92/9,133.76
  6. Step 6: Final answer
    x = 7,127.17

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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.