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Finding the Fourth Proportional to 9,120.77, 13,657.41 and 7,812.90

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Solution

The fourth proportional to 9,120.77, 13,657.41 and 7,812.90 is: 11,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.77 : 13,657.41 = 7,812.90 : x
  2. Step 2: Convert to fraction form
    9,120.77/13,657.41 = 7,812.90/x
  3. Step 3: Cross multiply
    9,120.77x = 13,657.41 × 7,812.90
  4. Step 4: Simplify right side
    9,120.77x = 106,703,978.59
  5. Step 5: Solve for x
    x = 106,703,978.59/9,120.77
  6. Step 6: Final answer
    x = 11,699.02

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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.