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Finding the Fourth Proportional to 9,895.20, 14,843.24 and 5,509.36

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Solution

The fourth proportional to 9,895.20, 14,843.24 and 5,509.36 is: 8,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.20 : 14,843.24 = 5,509.36 : x
  2. Step 2: Convert to fraction form
    9,895.20/14,843.24 = 5,509.36/x
  3. Step 3: Cross multiply
    9,895.20x = 14,843.24 × 5,509.36
  4. Step 4: Simplify right side
    9,895.20x = 81,776,752.73
  5. Step 5: Solve for x
    x = 81,776,752.73/9,895.20
  6. Step 6: Final answer
    x = 8,264.28

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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.