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Finding the Fourth Proportional to 9,575.11, 14,362.71 and 3,951.46

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Solution

The fourth proportional to 9,575.11, 14,362.71 and 3,951.46 is: 5,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.11 : 14,362.71 = 3,951.46 : x
  2. Step 2: Convert to fraction form
    9,575.11/14,362.71 = 3,951.46/x
  3. Step 3: Cross multiply
    9,575.11x = 14,362.71 × 3,951.46
  4. Step 4: Simplify right side
    9,575.11x = 56,753,674.06
  5. Step 5: Solve for x
    x = 56,753,674.06/9,575.11
  6. Step 6: Final answer
    x = 5,927.21

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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.