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Finding the Fourth Proportional to 9,575.89, 14,365.20 and 3,002.58

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Solution

The fourth proportional to 9,575.89, 14,365.20 and 3,002.58 is: 4,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.89 : 14,365.20 = 3,002.58 : x
  2. Step 2: Convert to fraction form
    9,575.89/14,365.20 = 3,002.58/x
  3. Step 3: Cross multiply
    9,575.89x = 14,365.20 × 3,002.58
  4. Step 4: Simplify right side
    9,575.89x = 43,132,662.22
  5. Step 5: Solve for x
    x = 43,132,662.22/9,575.89
  6. Step 6: Final answer
    x = 4,504.30

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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.