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Finding the Fourth Proportional to 9,561.76, 14,334.54 and 4,295.68

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Solution

The fourth proportional to 9,561.76, 14,334.54 and 4,295.68 is: 6,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.76 : 14,334.54 = 4,295.68 : x
  2. Step 2: Convert to fraction form
    9,561.76/14,334.54 = 4,295.68/x
  3. Step 3: Cross multiply
    9,561.76x = 14,334.54 × 4,295.68
  4. Step 4: Simplify right side
    9,561.76x = 61,576,596.79
  5. Step 5: Solve for x
    x = 61,576,596.79/9,561.76
  6. Step 6: Final answer
    x = 6,439.88

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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.