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Finding the Fourth Proportional to 9,679.74, 14,513.64 and 4,129.98

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Solution

The fourth proportional to 9,679.74, 14,513.64 and 4,129.98 is: 6,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.74 : 14,513.64 = 4,129.98 : x
  2. Step 2: Convert to fraction form
    9,679.74/14,513.64 = 4,129.98/x
  3. Step 3: Cross multiply
    9,679.74x = 14,513.64 × 4,129.98
  4. Step 4: Simplify right side
    9,679.74x = 59,941,042.93
  5. Step 5: Solve for x
    x = 59,941,042.93/9,679.74
  6. Step 6: Final answer
    x = 6,192.42

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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.