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Finding the Fourth Proportional to 9,965.34, 14,927.04 and 9,390.96

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Solution

The fourth proportional to 9,965.34, 14,927.04 and 9,390.96 is: 14,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.34 : 14,927.04 = 9,390.96 : x
  2. Step 2: Convert to fraction form
    9,965.34/14,927.04 = 9,390.96/x
  3. Step 3: Cross multiply
    9,965.34x = 14,927.04 × 9,390.96
  4. Step 4: Simplify right side
    9,965.34x = 140,179,235.56
  5. Step 5: Solve for x
    x = 140,179,235.56/9,965.34
  6. Step 6: Final answer
    x = 14,066.68

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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.