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Finding the Fourth Proportional to 6,956.64, 9,573.12 and 6,161.76

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Solution

The fourth proportional to 6,956.64, 9,573.12 and 6,161.76 is: 8,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.64 : 9,573.12 = 6,161.76 : x
  2. Step 2: Convert to fraction form
    6,956.64/9,573.12 = 6,161.76/x
  3. Step 3: Cross multiply
    6,956.64x = 9,573.12 × 6,161.76
  4. Step 4: Simplify right side
    6,956.64x = 58,987,267.89
  5. Step 5: Solve for x
    x = 58,987,267.89/6,956.64
  6. Step 6: Final answer
    x = 8,479.28

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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.