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Finding the Fourth Proportional to 9,255.51, 12,768.99 and 5,897.70

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Solution

The fourth proportional to 9,255.51, 12,768.99 and 5,897.70 is: 8,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.51 : 12,768.99 = 5,897.70 : x
  2. Step 2: Convert to fraction form
    9,255.51/12,768.99 = 5,897.70/x
  3. Step 3: Cross multiply
    9,255.51x = 12,768.99 × 5,897.70
  4. Step 4: Simplify right side
    9,255.51x = 75,307,672.32
  5. Step 5: Solve for x
    x = 75,307,672.32/9,255.51
  6. Step 6: Final answer
    x = 8,136.52

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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.