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Finding the Fourth Proportional to 9,632.32, 14,420.23 and 7,786.94

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Solution

The fourth proportional to 9,632.32, 14,420.23 and 7,786.94 is: 11,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.32 : 14,420.23 = 7,786.94 : x
  2. Step 2: Convert to fraction form
    9,632.32/14,420.23 = 7,786.94/x
  3. Step 3: Cross multiply
    9,632.32x = 14,420.23 × 7,786.94
  4. Step 4: Simplify right side
    9,632.32x = 112,289,374.23
  5. Step 5: Solve for x
    x = 112,289,374.23/9,632.32
  6. Step 6: Final answer
    x = 11,657.57

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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.