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Finding the Fourth Proportional to 9,137.54, 13,678.49 and 5,852.93

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Solution

The fourth proportional to 9,137.54, 13,678.49 and 5,852.93 is: 8,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.54 : 13,678.49 = 5,852.93 : x
  2. Step 2: Convert to fraction form
    9,137.54/13,678.49 = 5,852.93/x
  3. Step 3: Cross multiply
    9,137.54x = 13,678.49 × 5,852.93
  4. Step 4: Simplify right side
    9,137.54x = 80,059,190.72
  5. Step 5: Solve for x
    x = 80,059,190.72/9,137.54
  6. Step 6: Final answer
    x = 8,761.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.