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Finding the Fourth Proportional to 9,929.67, 13,704.53 and 5,740.35

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Solution

The fourth proportional to 9,929.67, 13,704.53 and 5,740.35 is: 7,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.67 : 13,704.53 = 5,740.35 : x
  2. Step 2: Convert to fraction form
    9,929.67/13,704.53 = 5,740.35/x
  3. Step 3: Cross multiply
    9,929.67x = 13,704.53 × 5,740.35
  4. Step 4: Simplify right side
    9,929.67x = 78,668,770.08
  5. Step 5: Solve for x
    x = 78,668,770.08/9,929.67
  6. Step 6: Final answer
    x = 7,922.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.