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Finding the Fourth Proportional to 9,573.87, 14,359.19 and 2,646.75

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Solution

The fourth proportional to 9,573.87, 14,359.19 and 2,646.75 is: 3,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.87 : 14,359.19 = 2,646.75 : x
  2. Step 2: Convert to fraction form
    9,573.87/14,359.19 = 2,646.75/x
  3. Step 3: Cross multiply
    9,573.87x = 14,359.19 × 2,646.75
  4. Step 4: Simplify right side
    9,573.87x = 38,005,172.90
  5. Step 5: Solve for x
    x = 38,005,172.90/9,573.87
  6. Step 6: Final answer
    x = 3,969.68

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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.