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Finding the Fourth Proportional to 9,136.06, 13,710.12 and 4,205.50

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Solution

The fourth proportional to 9,136.06, 13,710.12 and 4,205.50 is: 6,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.06 : 13,710.12 = 4,205.50 : x
  2. Step 2: Convert to fraction form
    9,136.06/13,710.12 = 4,205.50/x
  3. Step 3: Cross multiply
    9,136.06x = 13,710.12 × 4,205.50
  4. Step 4: Simplify right side
    9,136.06x = 57,657,909.66
  5. Step 5: Solve for x
    x = 57,657,909.66/9,136.06
  6. Step 6: Final answer
    x = 6,311.03

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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.