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Finding the Fourth Proportional to 9,777.96, 14,672.88 and 4,232.76

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Solution

The fourth proportional to 9,777.96, 14,672.88 and 4,232.76 is: 6,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.96 : 14,672.88 = 4,232.76 : x
  2. Step 2: Convert to fraction form
    9,777.96/14,672.88 = 4,232.76/x
  3. Step 3: Cross multiply
    9,777.96x = 14,672.88 × 4,232.76
  4. Step 4: Simplify right side
    9,777.96x = 62,106,779.55
  5. Step 5: Solve for x
    x = 62,106,779.55/9,777.96
  6. Step 6: Final answer
    x = 6,351.71

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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.