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Finding the Fourth Proportional to 9,453.56, 13,044.30 and 5,261

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Solution

The fourth proportional to 9,453.56, 13,044.30 and 5,261 is: 7,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.56 : 13,044.30 = 5,261 : x
  2. Step 2: Convert to fraction form
    9,453.56/13,044.30 = 5,261/x
  3. Step 3: Cross multiply
    9,453.56x = 13,044.30 × 5,261
  4. Step 4: Simplify right side
    9,453.56x = 68,626,062.30
  5. Step 5: Solve for x
    x = 68,626,062.30/9,453.56
  6. Step 6: Final answer
    x = 7,259.28

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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.