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Finding the Fourth Proportional to 9,082.66, 13,628.14 and 4,697.74

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Solution

The fourth proportional to 9,082.66, 13,628.14 and 4,697.74 is: 7,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.66 : 13,628.14 = 4,697.74 : x
  2. Step 2: Convert to fraction form
    9,082.66/13,628.14 = 4,697.74/x
  3. Step 3: Cross multiply
    9,082.66x = 13,628.14 × 4,697.74
  4. Step 4: Simplify right side
    9,082.66x = 64,021,458.40
  5. Step 5: Solve for x
    x = 64,021,458.40/9,082.66
  6. Step 6: Final answer
    x = 7,048.76

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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.