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Finding the Fourth Proportional to 9,756.96, 14,635.86 and 8,125.01

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Solution

The fourth proportional to 9,756.96, 14,635.86 and 8,125.01 is: 12,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.96 : 14,635.86 = 8,125.01 : x
  2. Step 2: Convert to fraction form
    9,756.96/14,635.86 = 8,125.01/x
  3. Step 3: Cross multiply
    9,756.96x = 14,635.86 × 8,125.01
  4. Step 4: Simplify right side
    9,756.96x = 118,916,460.09
  5. Step 5: Solve for x
    x = 118,916,460.09/9,756.96
  6. Step 6: Final answer
    x = 12,187.86

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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.