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Finding the Fourth Proportional to 9,932.68, 14,827.94 and 9,586.39

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Solution

The fourth proportional to 9,932.68, 14,827.94 and 9,586.39 is: 14,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.68 : 14,827.94 = 9,586.39 : x
  2. Step 2: Convert to fraction form
    9,932.68/14,827.94 = 9,586.39/x
  3. Step 3: Cross multiply
    9,932.68x = 14,827.94 × 9,586.39
  4. Step 4: Simplify right side
    9,932.68x = 142,146,415.74
  5. Step 5: Solve for x
    x = 142,146,415.74/9,932.68
  6. Step 6: Final answer
    x = 14,310.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.