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Finding the Fourth Proportional to 9,588.58, 14,381.96 and 3,347.43

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Solution

The fourth proportional to 9,588.58, 14,381.96 and 3,347.43 is: 5,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.58 : 14,381.96 = 3,347.43 : x
  2. Step 2: Convert to fraction form
    9,588.58/14,381.96 = 3,347.43/x
  3. Step 3: Cross multiply
    9,588.58x = 14,381.96 × 3,347.43
  4. Step 4: Simplify right side
    9,588.58x = 48,142,533.69
  5. Step 5: Solve for x
    x = 48,142,533.69/9,588.58
  6. Step 6: Final answer
    x = 5,020.82

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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.