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Finding the Fourth Proportional to 9,575.42, 14,352.19 and 4,020.44

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Solution

The fourth proportional to 9,575.42, 14,352.19 and 4,020.44 is: 6,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.42 : 14,352.19 = 4,020.44 : x
  2. Step 2: Convert to fraction form
    9,575.42/14,352.19 = 4,020.44/x
  3. Step 3: Cross multiply
    9,575.42x = 14,352.19 × 4,020.44
  4. Step 4: Simplify right side
    9,575.42x = 57,702,036.95
  5. Step 5: Solve for x
    x = 57,702,036.95/9,575.42
  6. Step 6: Final answer
    x = 6,026.06

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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.