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Finding the Fourth Proportional to 9,260.94, 13,885.22 and 5,102.94

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Solution

The fourth proportional to 9,260.94, 13,885.22 and 5,102.94 is: 7,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.94 : 13,885.22 = 5,102.94 : x
  2. Step 2: Convert to fraction form
    9,260.94/13,885.22 = 5,102.94/x
  3. Step 3: Cross multiply
    9,260.94x = 13,885.22 × 5,102.94
  4. Step 4: Simplify right side
    9,260.94x = 70,855,444.55
  5. Step 5: Solve for x
    x = 70,855,444.55/9,260.94
  6. Step 6: Final answer
    x = 7,651.00

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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.