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Finding the Fourth Proportional to 9,684.88, 14,529.62 and 5,246.98

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Solution

The fourth proportional to 9,684.88, 14,529.62 and 5,246.98 is: 7,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.88 : 14,529.62 = 5,246.98 : x
  2. Step 2: Convert to fraction form
    9,684.88/14,529.62 = 5,246.98/x
  3. Step 3: Cross multiply
    9,684.88x = 14,529.62 × 5,246.98
  4. Step 4: Simplify right side
    9,684.88x = 76,236,565.45
  5. Step 5: Solve for x
    x = 76,236,565.45/9,684.88
  6. Step 6: Final answer
    x = 7,871.71

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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.