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Finding the Fourth Proportional to 6,965.22, 9,612.54 and 4,314.18

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Solution

The fourth proportional to 6,965.22, 9,612.54 and 4,314.18 is: 5,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.22 : 9,612.54 = 4,314.18 : x
  2. Step 2: Convert to fraction form
    6,965.22/9,612.54 = 4,314.18/x
  3. Step 3: Cross multiply
    6,965.22x = 9,612.54 × 4,314.18
  4. Step 4: Simplify right side
    6,965.22x = 41,470,227.82
  5. Step 5: Solve for x
    x = 41,470,227.82/6,965.22
  6. Step 6: Final answer
    x = 5,953.90

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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.