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Finding the Fourth Proportional to 9,205.06, 13,807.62 and 5,508.40

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Solution

The fourth proportional to 9,205.06, 13,807.62 and 5,508.40 is: 8,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.06 : 13,807.62 = 5,508.40 : x
  2. Step 2: Convert to fraction form
    9,205.06/13,807.62 = 5,508.40/x
  3. Step 3: Cross multiply
    9,205.06x = 13,807.62 × 5,508.40
  4. Step 4: Simplify right side
    9,205.06x = 76,057,894.01
  5. Step 5: Solve for x
    x = 76,057,894.01/9,205.06
  6. Step 6: Final answer
    x = 8,262.62

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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.