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Finding the Fourth Proportional to 9,842.26, 13,573.20 and 7,330.54

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Solution

The fourth proportional to 9,842.26, 13,573.20 and 7,330.54 is: 10,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.26 : 13,573.20 = 7,330.54 : x
  2. Step 2: Convert to fraction form
    9,842.26/13,573.20 = 7,330.54/x
  3. Step 3: Cross multiply
    9,842.26x = 13,573.20 × 7,330.54
  4. Step 4: Simplify right side
    9,842.26x = 99,498,885.53
  5. Step 5: Solve for x
    x = 99,498,885.53/9,842.26
  6. Step 6: Final answer
    x = 10,109.35

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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.