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Finding the Fourth Proportional to 9,077.94, 13,598.69 and 6,617.97

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Solution

The fourth proportional to 9,077.94, 13,598.69 and 6,617.97 is: 9,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.94 : 13,598.69 = 6,617.97 : x
  2. Step 2: Convert to fraction form
    9,077.94/13,598.69 = 6,617.97/x
  3. Step 3: Cross multiply
    9,077.94x = 13,598.69 × 6,617.97
  4. Step 4: Simplify right side
    9,077.94x = 89,995,689.37
  5. Step 5: Solve for x
    x = 89,995,689.37/9,077.94
  6. Step 6: Final answer
    x = 9,913.67

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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.