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Finding the Fourth Proportional to 9,761.24, 13,470.44 and 5,285

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Solution

The fourth proportional to 9,761.24, 13,470.44 and 5,285 is: 7,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.24 : 13,470.44 = 5,285 : x
  2. Step 2: Convert to fraction form
    9,761.24/13,470.44 = 5,285/x
  3. Step 3: Cross multiply
    9,761.24x = 13,470.44 × 5,285
  4. Step 4: Simplify right side
    9,761.24x = 71,191,275.40
  5. Step 5: Solve for x
    x = 71,191,275.40/9,761.24
  6. Step 6: Final answer
    x = 7,293.26

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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.