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Finding the Fourth Proportional to 9,750.38, 14,620.70 and 4,483.76

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Solution

The fourth proportional to 9,750.38, 14,620.70 and 4,483.76 is: 6,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.38 : 14,620.70 = 4,483.76 : x
  2. Step 2: Convert to fraction form
    9,750.38/14,620.70 = 4,483.76/x
  3. Step 3: Cross multiply
    9,750.38x = 14,620.70 × 4,483.76
  4. Step 4: Simplify right side
    9,750.38x = 65,555,709.83
  5. Step 5: Solve for x
    x = 65,555,709.83/9,750.38
  6. Step 6: Final answer
    x = 6,723.40

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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.