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Finding the Fourth Proportional to 6,976.16, 9,620.34 and 4,712.48

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Solution

The fourth proportional to 6,976.16, 9,620.34 and 4,712.48 is: 6,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.16 : 9,620.34 = 4,712.48 : x
  2. Step 2: Convert to fraction form
    6,976.16/9,620.34 = 4,712.48/x
  3. Step 3: Cross multiply
    6,976.16x = 9,620.34 × 4,712.48
  4. Step 4: Simplify right side
    6,976.16x = 45,335,659.84
  5. Step 5: Solve for x
    x = 45,335,659.84/6,976.16
  6. Step 6: Final answer
    x = 6,498.66

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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.