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Finding the Fourth Proportional to 9,260.35, 13,890.64 and 5,563.64

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Solution

The fourth proportional to 9,260.35, 13,890.64 and 5,563.64 is: 8,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.35 : 13,890.64 = 5,563.64 : x
  2. Step 2: Convert to fraction form
    9,260.35/13,890.64 = 5,563.64/x
  3. Step 3: Cross multiply
    9,260.35x = 13,890.64 × 5,563.64
  4. Step 4: Simplify right side
    9,260.35x = 77,282,473.44
  5. Step 5: Solve for x
    x = 77,282,473.44/9,260.35
  6. Step 6: Final answer
    x = 8,345.52

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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.