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Finding the Fourth Proportional to 9,082.51, 12,529.41 and 5,539.57

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Solution

The fourth proportional to 9,082.51, 12,529.41 and 5,539.57 is: 7,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.51 : 12,529.41 = 5,539.57 : x
  2. Step 2: Convert to fraction form
    9,082.51/12,529.41 = 5,539.57/x
  3. Step 3: Cross multiply
    9,082.51x = 12,529.41 × 5,539.57
  4. Step 4: Simplify right side
    9,082.51x = 69,407,543.75
  5. Step 5: Solve for x
    x = 69,407,543.75/9,082.51
  6. Step 6: Final answer
    x = 7,641.89

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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.