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Finding the Fourth Proportional to 9,082.94, 13,631.69 and 4,701.65

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Solution

The fourth proportional to 9,082.94, 13,631.69 and 4,701.65 is: 7,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.94 : 13,631.69 = 4,701.65 : x
  2. Step 2: Convert to fraction form
    9,082.94/13,631.69 = 4,701.65/x
  3. Step 3: Cross multiply
    9,082.94x = 13,631.69 × 4,701.65
  4. Step 4: Simplify right side
    9,082.94x = 64,091,378.88
  5. Step 5: Solve for x
    x = 64,091,378.88/9,082.94
  6. Step 6: Final answer
    x = 7,056.24

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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.