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Finding the Fourth Proportional to 9,653.74, 14,443.44 and 8,953.90

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Solution

The fourth proportional to 9,653.74, 14,443.44 and 8,953.90 is: 13,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.74 : 14,443.44 = 8,953.90 : x
  2. Step 2: Convert to fraction form
    9,653.74/14,443.44 = 8,953.90/x
  3. Step 3: Cross multiply
    9,653.74x = 14,443.44 × 8,953.90
  4. Step 4: Simplify right side
    9,653.74x = 129,325,117.42
  5. Step 5: Solve for x
    x = 129,325,117.42/9,653.74
  6. Step 6: Final answer
    x = 13,396.37

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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.