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Finding the Fourth Proportional to 6,950.88, 9,595.44 and 4,462.56

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Solution

The fourth proportional to 6,950.88, 9,595.44 and 4,462.56 is: 6,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.88 : 9,595.44 = 4,462.56 : x
  2. Step 2: Convert to fraction form
    6,950.88/9,595.44 = 4,462.56/x
  3. Step 3: Cross multiply
    6,950.88x = 9,595.44 × 4,462.56
  4. Step 4: Simplify right side
    6,950.88x = 42,820,226.73
  5. Step 5: Solve for x
    x = 42,820,226.73/6,950.88
  6. Step 6: Final answer
    x = 6,160.40

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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.