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Finding the Fourth Proportional to 9,575.70, 13,214.43 and 5,596.02

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Solution

The fourth proportional to 9,575.70, 13,214.43 and 5,596.02 is: 7,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.70 : 13,214.43 = 5,596.02 : x
  2. Step 2: Convert to fraction form
    9,575.70/13,214.43 = 5,596.02/x
  3. Step 3: Cross multiply
    9,575.70x = 13,214.43 × 5,596.02
  4. Step 4: Simplify right side
    9,575.70x = 73,948,214.57
  5. Step 5: Solve for x
    x = 73,948,214.57/9,575.70
  6. Step 6: Final answer
    x = 7,722.49

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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.