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Finding the Fourth Proportional to 6,433.14, 9,655.18 and 4,588.78

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Solution

The fourth proportional to 6,433.14, 9,655.18 and 4,588.78 is: 6,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.14 : 9,655.18 = 4,588.78 : x
  2. Step 2: Convert to fraction form
    6,433.14/9,655.18 = 4,588.78/x
  3. Step 3: Cross multiply
    6,433.14x = 9,655.18 × 4,588.78
  4. Step 4: Simplify right side
    6,433.14x = 44,305,496.88
  5. Step 5: Solve for x
    x = 44,305,496.88/6,433.14
  6. Step 6: Final answer
    x = 6,887.07

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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.