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Finding the Fourth Proportional to 9,709.32, 14,560.92 and 3,133.92

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Solution

The fourth proportional to 9,709.32, 14,560.92 and 3,133.92 is: 4,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.32 : 14,560.92 = 3,133.92 : x
  2. Step 2: Convert to fraction form
    9,709.32/14,560.92 = 3,133.92/x
  3. Step 3: Cross multiply
    9,709.32x = 14,560.92 × 3,133.92
  4. Step 4: Simplify right side
    9,709.32x = 45,632,758.41
  5. Step 5: Solve for x
    x = 45,632,758.41/9,709.32
  6. Step 6: Final answer
    x = 4,699.89

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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.