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Finding the Fourth Proportional to 9,563.99, 14,345.18 and 3,322.40

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Solution

The fourth proportional to 9,563.99, 14,345.18 and 3,322.40 is: 4,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.99 : 14,345.18 = 3,322.40 : x
  2. Step 2: Convert to fraction form
    9,563.99/14,345.18 = 3,322.40/x
  3. Step 3: Cross multiply
    9,563.99x = 14,345.18 × 3,322.40
  4. Step 4: Simplify right side
    9,563.99x = 47,660,409.42
  5. Step 5: Solve for x
    x = 47,660,409.42/9,563.99
  6. Step 6: Final answer
    x = 4,983.32

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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.