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Finding the Fourth Proportional to 9,252.68, 12,778.02 and 5,897.07

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Solution

The fourth proportional to 9,252.68, 12,778.02 and 5,897.07 is: 8,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.68 : 12,778.02 = 5,897.07 : x
  2. Step 2: Convert to fraction form
    9,252.68/12,778.02 = 5,897.07/x
  3. Step 3: Cross multiply
    9,252.68x = 12,778.02 × 5,897.07
  4. Step 4: Simplify right side
    9,252.68x = 75,352,878.40
  5. Step 5: Solve for x
    x = 75,352,878.40/9,252.68
  6. Step 6: Final answer
    x = 8,143.90

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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.