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Finding the Fourth Proportional to 9,589.60, 14,365.95 and 6,915.37

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Solution

The fourth proportional to 9,589.60, 14,365.95 and 6,915.37 is: 10,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.60 : 14,365.95 = 6,915.37 : x
  2. Step 2: Convert to fraction form
    9,589.60/14,365.95 = 6,915.37/x
  3. Step 3: Cross multiply
    9,589.60x = 14,365.95 × 6,915.37
  4. Step 4: Simplify right side
    9,589.60x = 99,345,859.65
  5. Step 5: Solve for x
    x = 99,345,859.65/9,589.60
  6. Step 6: Final answer
    x = 10,359.75

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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.