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Finding the Fourth Proportional to 9,777.64, 14,670.82 and 4,509.82

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Solution

The fourth proportional to 9,777.64, 14,670.82 and 4,509.82 is: 6,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.64 : 14,670.82 = 4,509.82 : x
  2. Step 2: Convert to fraction form
    9,777.64/14,670.82 = 4,509.82/x
  3. Step 3: Cross multiply
    9,777.64x = 14,670.82 × 4,509.82
  4. Step 4: Simplify right side
    9,777.64x = 66,162,661.55
  5. Step 5: Solve for x
    x = 66,162,661.55/9,777.64
  6. Step 6: Final answer
    x = 6,766.73

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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.