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Finding the Fourth Proportional to 9,082.78, 12,533.84 and 5,306.30

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Solution

The fourth proportional to 9,082.78, 12,533.84 and 5,306.30 is: 7,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.78 : 12,533.84 = 5,306.30 : x
  2. Step 2: Convert to fraction form
    9,082.78/12,533.84 = 5,306.30/x
  3. Step 3: Cross multiply
    9,082.78x = 12,533.84 × 5,306.30
  4. Step 4: Simplify right side
    9,082.78x = 66,508,315.19
  5. Step 5: Solve for x
    x = 66,508,315.19/9,082.78
  6. Step 6: Final answer
    x = 7,322.46

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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.