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Finding the Fourth Proportional to 9,653.80, 14,453.39 and 6,135.08

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Solution

The fourth proportional to 9,653.80, 14,453.39 and 6,135.08 is: 9,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.80 : 14,453.39 = 6,135.08 : x
  2. Step 2: Convert to fraction form
    9,653.80/14,453.39 = 6,135.08/x
  3. Step 3: Cross multiply
    9,653.80x = 14,453.39 × 6,135.08
  4. Step 4: Simplify right side
    9,653.80x = 88,672,728.29
  5. Step 5: Solve for x
    x = 88,672,728.29/9,653.80
  6. Step 6: Final answer
    x = 9,185.27

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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.