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Finding the Fourth Proportional to 9,824.79, 14,654.28 and 8,347.35

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Solution

The fourth proportional to 9,824.79, 14,654.28 and 8,347.35 is: 12,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.79 : 14,654.28 = 8,347.35 : x
  2. Step 2: Convert to fraction form
    9,824.79/14,654.28 = 8,347.35/x
  3. Step 3: Cross multiply
    9,824.79x = 14,654.28 × 8,347.35
  4. Step 4: Simplify right side
    9,824.79x = 122,324,404.16
  5. Step 5: Solve for x
    x = 122,324,404.16/9,824.79
  6. Step 6: Final answer
    x = 12,450.59

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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.