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Finding the Fourth Proportional to 9,596.96, 14,391.76 and 3,752.96

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Solution

The fourth proportional to 9,596.96, 14,391.76 and 3,752.96 is: 5,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.96 : 14,391.76 = 3,752.96 : x
  2. Step 2: Convert to fraction form
    9,596.96/14,391.76 = 3,752.96/x
  3. Step 3: Cross multiply
    9,596.96x = 14,391.76 × 3,752.96
  4. Step 4: Simplify right side
    9,596.96x = 54,011,699.61
  5. Step 5: Solve for x
    x = 54,011,699.61/9,596.96
  6. Step 6: Final answer
    x = 5,628.00

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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.