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Finding the Fourth Proportional to 9,563.36, 14,345.04 and 2,990

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Solution

The fourth proportional to 9,563.36, 14,345.04 and 2,990 is: 4,485

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.36 : 14,345.04 = 2,990 : x
  2. Step 2: Convert to fraction form
    9,563.36/14,345.04 = 2,990/x
  3. Step 3: Cross multiply
    9,563.36x = 14,345.04 × 2,990
  4. Step 4: Simplify right side
    9,563.36x = 42,891,669.60
  5. Step 5: Solve for x
    x = 42,891,669.60/9,563.36
  6. Step 6: Final answer
    x = 4,485

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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.