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Finding the Fourth Proportional to 6,281.01, 9,423.41 and 3,784.91

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Solution

The fourth proportional to 6,281.01, 9,423.41 and 3,784.91 is: 5,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.01 : 9,423.41 = 3,784.91 : x
  2. Step 2: Convert to fraction form
    6,281.01/9,423.41 = 3,784.91/x
  3. Step 3: Cross multiply
    6,281.01x = 9,423.41 × 3,784.91
  4. Step 4: Simplify right side
    6,281.01x = 35,666,692.70
  5. Step 5: Solve for x
    x = 35,666,692.70/6,281.01
  6. Step 6: Final answer
    x = 5,678.50

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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.