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Finding the Fourth Proportional to 9,571.89, 14,359.64 and 4,377.75

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Solution

The fourth proportional to 9,571.89, 14,359.64 and 4,377.75 is: 6,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.89 : 14,359.64 = 4,377.75 : x
  2. Step 2: Convert to fraction form
    9,571.89/14,359.64 = 4,377.75/x
  3. Step 3: Cross multiply
    9,571.89x = 14,359.64 × 4,377.75
  4. Step 4: Simplify right side
    9,571.89x = 62,862,892.12
  5. Step 5: Solve for x
    x = 62,862,892.12/9,571.89
  6. Step 6: Final answer
    x = 6,567.45

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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.