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Finding the Fourth Proportional to 9,794.04, 14,692.50 and 3,554.52

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Solution

The fourth proportional to 9,794.04, 14,692.50 and 3,554.52 is: 5,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.04 : 14,692.50 = 3,554.52 : x
  2. Step 2: Convert to fraction form
    9,794.04/14,692.50 = 3,554.52/x
  3. Step 3: Cross multiply
    9,794.04x = 14,692.50 × 3,554.52
  4. Step 4: Simplify right side
    9,794.04x = 52,224,785.10
  5. Step 5: Solve for x
    x = 52,224,785.10/9,794.04
  6. Step 6: Final answer
    x = 5,332.30

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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.