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Finding the Fourth Proportional to 9,703.16, 14,553.79 and 3,134.06

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Solution

The fourth proportional to 9,703.16, 14,553.79 and 3,134.06 is: 4,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.16 : 14,553.79 = 3,134.06 : x
  2. Step 2: Convert to fraction form
    9,703.16/14,553.79 = 3,134.06/x
  3. Step 3: Cross multiply
    9,703.16x = 14,553.79 × 3,134.06
  4. Step 4: Simplify right side
    9,703.16x = 45,612,451.09
  5. Step 5: Solve for x
    x = 45,612,451.09/9,703.16
  6. Step 6: Final answer
    x = 4,700.78

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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.