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Finding the Fourth Proportional to 6,334.92, 9,502.56 and 4,891.68

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Solution

The fourth proportional to 6,334.92, 9,502.56 and 4,891.68 is: 7,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.92 : 9,502.56 = 4,891.68 : x
  2. Step 2: Convert to fraction form
    6,334.92/9,502.56 = 4,891.68/x
  3. Step 3: Cross multiply
    6,334.92x = 9,502.56 × 4,891.68
  4. Step 4: Simplify right side
    6,334.92x = 46,483,482.70
  5. Step 5: Solve for x
    x = 46,483,482.70/6,334.92
  6. Step 6: Final answer
    x = 7,337.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.