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Finding the Fourth Proportional to 9,614.16, 13,290.12 and 6,843.60

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Solution

The fourth proportional to 9,614.16, 13,290.12 and 6,843.60 is: 9,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.16 : 13,290.12 = 6,843.60 : x
  2. Step 2: Convert to fraction form
    9,614.16/13,290.12 = 6,843.60/x
  3. Step 3: Cross multiply
    9,614.16x = 13,290.12 × 6,843.60
  4. Step 4: Simplify right side
    9,614.16x = 90,952,265.23
  5. Step 5: Solve for x
    x = 90,952,265.23/9,614.16
  6. Step 6: Final answer
    x = 9,460.24

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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.