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Finding the Fourth Proportional to 9,710.92, 14,563.68 and 6,150.72

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Solution

The fourth proportional to 9,710.92, 14,563.68 and 6,150.72 is: 9,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.92 : 14,563.68 = 6,150.72 : x
  2. Step 2: Convert to fraction form
    9,710.92/14,563.68 = 6,150.72/x
  3. Step 3: Cross multiply
    9,710.92x = 14,563.68 × 6,150.72
  4. Step 4: Simplify right side
    9,710.92x = 89,577,117.85
  5. Step 5: Solve for x
    x = 89,577,117.85/9,710.92
  6. Step 6: Final answer
    x = 9,224.37

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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.