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Finding the Fourth Proportional to 6,313.12, 9,469.68 and 4,953.76

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Solution

The fourth proportional to 6,313.12, 9,469.68 and 4,953.76 is: 7,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.12 : 9,469.68 = 4,953.76 : x
  2. Step 2: Convert to fraction form
    6,313.12/9,469.68 = 4,953.76/x
  3. Step 3: Cross multiply
    6,313.12x = 9,469.68 × 4,953.76
  4. Step 4: Simplify right side
    6,313.12x = 46,910,522.00
  5. Step 5: Solve for x
    x = 46,910,522.00/6,313.12
  6. Step 6: Final answer
    x = 7,430.64

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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.