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Finding the Fourth Proportional to 9,853.67, 14,735.60 and 7,356.61

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Solution

The fourth proportional to 9,853.67, 14,735.60 and 7,356.61 is: 11,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.67 : 14,735.60 = 7,356.61 : x
  2. Step 2: Convert to fraction form
    9,853.67/14,735.60 = 7,356.61/x
  3. Step 3: Cross multiply
    9,853.67x = 14,735.60 × 7,356.61
  4. Step 4: Simplify right side
    9,853.67x = 108,404,030.03
  5. Step 5: Solve for x
    x = 108,404,030.03/9,853.67
  6. Step 6: Final answer
    x = 11,001.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.