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Finding the Fourth Proportional to 6,956.24, 9,600.10 and 4,305.17

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Solution

The fourth proportional to 6,956.24, 9,600.10 and 4,305.17 is: 5,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.24 : 9,600.10 = 4,305.17 : x
  2. Step 2: Convert to fraction form
    6,956.24/9,600.10 = 4,305.17/x
  3. Step 3: Cross multiply
    6,956.24x = 9,600.10 × 4,305.17
  4. Step 4: Simplify right side
    6,956.24x = 41,330,075.75
  5. Step 5: Solve for x
    x = 41,330,075.75/6,956.24
  6. Step 6: Final answer
    x = 5,941.44

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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.