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Finding the Fourth Proportional to 9,653.45, 14,480.31 and 3,810

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Solution

The fourth proportional to 9,653.45, 14,480.31 and 3,810 is: 5,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.45 : 14,480.31 = 3,810 : x
  2. Step 2: Convert to fraction form
    9,653.45/14,480.31 = 3,810/x
  3. Step 3: Cross multiply
    9,653.45x = 14,480.31 × 3,810
  4. Step 4: Simplify right side
    9,653.45x = 55,169,995.39
  5. Step 5: Solve for x
    x = 55,169,995.39/9,653.45
  6. Step 6: Final answer
    x = 5,715.06

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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.