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Finding the Fourth Proportional to 9,835.39, 13,572.33 and 5,358.85

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Solution

The fourth proportional to 9,835.39, 13,572.33 and 5,358.85 is: 7,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.39 : 13,572.33 = 5,358.85 : x
  2. Step 2: Convert to fraction form
    9,835.39/13,572.33 = 5,358.85/x
  3. Step 3: Cross multiply
    9,835.39x = 13,572.33 × 5,358.85
  4. Step 4: Simplify right side
    9,835.39x = 72,732,080.62
  5. Step 5: Solve for x
    x = 72,732,080.62/9,835.39
  6. Step 6: Final answer
    x = 7,394.94

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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.