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Finding the Fourth Proportional to 6,588.48, 9,081.24 and 4,674.96

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Solution

The fourth proportional to 6,588.48, 9,081.24 and 4,674.96 is: 6,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.48 : 9,081.24 = 4,674.96 : x
  2. Step 2: Convert to fraction form
    6,588.48/9,081.24 = 4,674.96/x
  3. Step 3: Cross multiply
    6,588.48x = 9,081.24 × 4,674.96
  4. Step 4: Simplify right side
    6,588.48x = 42,454,433.75
  5. Step 5: Solve for x
    x = 42,454,433.75/6,588.48
  6. Step 6: Final answer
    x = 6,443.74

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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.