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Finding the Fourth Proportional to 9,452.76, 13,045.24 and 5,261

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Solution

The fourth proportional to 9,452.76, 13,045.24 and 5,261 is: 7,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.76 : 13,045.24 = 5,261 : x
  2. Step 2: Convert to fraction form
    9,452.76/13,045.24 = 5,261/x
  3. Step 3: Cross multiply
    9,452.76x = 13,045.24 × 5,261
  4. Step 4: Simplify right side
    9,452.76x = 68,631,007.64
  5. Step 5: Solve for x
    x = 68,631,007.64/9,452.76
  6. Step 6: Final answer
    x = 7,260.42

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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.