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Finding the Fourth Proportional to 6,381.94, 9,559.06 and 3,088.13

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Solution

The fourth proportional to 6,381.94, 9,559.06 and 3,088.13 is: 4,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.94 : 9,559.06 = 3,088.13 : x
  2. Step 2: Convert to fraction form
    6,381.94/9,559.06 = 3,088.13/x
  3. Step 3: Cross multiply
    6,381.94x = 9,559.06 × 3,088.13
  4. Step 4: Simplify right side
    6,381.94x = 29,519,581.81
  5. Step 5: Solve for x
    x = 29,519,581.81/6,381.94
  6. Step 6: Final answer
    x = 4,625.49

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Why These Related Problems?

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