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Finding the Fourth Proportional to 9,150.84, 12,632.46 and 5,840.76

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Solution

The fourth proportional to 9,150.84, 12,632.46 and 5,840.76 is: 8,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.84 : 12,632.46 = 5,840.76 : x
  2. Step 2: Convert to fraction form
    9,150.84/12,632.46 = 5,840.76/x
  3. Step 3: Cross multiply
    9,150.84x = 12,632.46 × 5,840.76
  4. Step 4: Simplify right side
    9,150.84x = 73,783,167.07
  5. Step 5: Solve for x
    x = 73,783,167.07/9,150.84
  6. Step 6: Final answer
    x = 8,062.99

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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.