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Finding the Fourth Proportional to 9,701.37, 13,357.19 and 8,814.52

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Solution

The fourth proportional to 9,701.37, 13,357.19 and 8,814.52 is: 12,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.37 : 13,357.19 = 8,814.52 : x
  2. Step 2: Convert to fraction form
    9,701.37/13,357.19 = 8,814.52/x
  3. Step 3: Cross multiply
    9,701.37x = 13,357.19 × 8,814.52
  4. Step 4: Simplify right side
    9,701.37x = 117,737,257.13
  5. Step 5: Solve for x
    x = 117,737,257.13/9,701.37
  6. Step 6: Final answer
    x = 12,136.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.