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Finding the Fourth Proportional to 9,563.64, 14,345.40 and 5,665.26

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Solution

The fourth proportional to 9,563.64, 14,345.40 and 5,665.26 is: 8,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.64 : 14,345.40 = 5,665.26 : x
  2. Step 2: Convert to fraction form
    9,563.64/14,345.40 = 5,665.26/x
  3. Step 3: Cross multiply
    9,563.64x = 14,345.40 × 5,665.26
  4. Step 4: Simplify right side
    9,563.64x = 81,270,420.80
  5. Step 5: Solve for x
    x = 81,270,420.80/9,563.64
  6. Step 6: Final answer
    x = 8,497.85

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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.