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Finding the Fourth Proportional to 9,752.96, 14,625.76 and 3,177.60

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Solution

The fourth proportional to 9,752.96, 14,625.76 and 3,177.60 is: 4,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.96 : 14,625.76 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    9,752.96/14,625.76 = 3,177.60/x
  3. Step 3: Cross multiply
    9,752.96x = 14,625.76 × 3,177.60
  4. Step 4: Simplify right side
    9,752.96x = 46,474,814.98
  5. Step 5: Solve for x
    x = 46,474,814.98/9,752.96
  6. Step 6: Final answer
    x = 4,765.20

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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.