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Finding the Fourth Proportional to 9,527.37, 14,289.44 and 2,600.25

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Solution

The fourth proportional to 9,527.37, 14,289.44 and 2,600.25 is: 3,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.37 : 14,289.44 = 2,600.25 : x
  2. Step 2: Convert to fraction form
    9,527.37/14,289.44 = 2,600.25/x
  3. Step 3: Cross multiply
    9,527.37x = 14,289.44 × 2,600.25
  4. Step 4: Simplify right side
    9,527.37x = 37,156,103.36
  5. Step 5: Solve for x
    x = 37,156,103.36/9,527.37
  6. Step 6: Final answer
    x = 3,899.93

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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.