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Finding the Fourth Proportional to 9,842.40, 13,582.46 and 5,652

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Solution

The fourth proportional to 9,842.40, 13,582.46 and 5,652 is: 7,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.40 : 13,582.46 = 5,652 : x
  2. Step 2: Convert to fraction form
    9,842.40/13,582.46 = 5,652/x
  3. Step 3: Cross multiply
    9,842.40x = 13,582.46 × 5,652
  4. Step 4: Simplify right side
    9,842.40x = 76,768,063.92
  5. Step 5: Solve for x
    x = 76,768,063.92/9,842.40
  6. Step 6: Final answer
    x = 7,799.73

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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.