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Finding the Fourth Proportional to 6,588.32, 9,884.30 and 3,809.93

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Solution

The fourth proportional to 6,588.32, 9,884.30 and 3,809.93 is: 5,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.32 : 9,884.30 = 3,809.93 : x
  2. Step 2: Convert to fraction form
    6,588.32/9,884.30 = 3,809.93/x
  3. Step 3: Cross multiply
    6,588.32x = 9,884.30 × 3,809.93
  4. Step 4: Simplify right side
    6,588.32x = 37,658,422.63
  5. Step 5: Solve for x
    x = 37,658,422.63/6,588.32
  6. Step 6: Final answer
    x = 5,715.94

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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.