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Finding the Fourth Proportional to 9,357.16, 14,033.26 and 2,781.60

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Solution

The fourth proportional to 9,357.16, 14,033.26 and 2,781.60 is: 4,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.16 : 14,033.26 = 2,781.60 : x
  2. Step 2: Convert to fraction form
    9,357.16/14,033.26 = 2,781.60/x
  3. Step 3: Cross multiply
    9,357.16x = 14,033.26 × 2,781.60
  4. Step 4: Simplify right side
    9,357.16x = 39,034,916.02
  5. Step 5: Solve for x
    x = 39,034,916.02/9,357.16
  6. Step 6: Final answer
    x = 4,171.66

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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.