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Finding the Fourth Proportional to 9,586.27, 14,383.05 and 4,908.52

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Solution

The fourth proportional to 9,586.27, 14,383.05 and 4,908.52 is: 7,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.27 : 14,383.05 = 4,908.52 : x
  2. Step 2: Convert to fraction form
    9,586.27/14,383.05 = 4,908.52/x
  3. Step 3: Cross multiply
    9,586.27x = 14,383.05 × 4,908.52
  4. Step 4: Simplify right side
    9,586.27x = 70,599,488.59
  5. Step 5: Solve for x
    x = 70,599,488.59/9,586.27
  6. Step 6: Final answer
    x = 7,364.65

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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.