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Finding the Fourth Proportional to 9,811.85, 14,713.16 and 3,567.47

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Solution

The fourth proportional to 9,811.85, 14,713.16 and 3,567.47 is: 5,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.85 : 14,713.16 = 3,567.47 : x
  2. Step 2: Convert to fraction form
    9,811.85/14,713.16 = 3,567.47/x
  3. Step 3: Cross multiply
    9,811.85x = 14,713.16 × 3,567.47
  4. Step 4: Simplify right side
    9,811.85x = 52,488,692.26
  5. Step 5: Solve for x
    x = 52,488,692.26/9,811.85
  6. Step 6: Final answer
    x = 5,349.52

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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.