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Finding the Fourth Proportional to 9,730.80, 13,397.40 and 8,175.60

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Solution

The fourth proportional to 9,730.80, 13,397.40 and 8,175.60 is: 11,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.80 : 13,397.40 = 8,175.60 : x
  2. Step 2: Convert to fraction form
    9,730.80/13,397.40 = 8,175.60/x
  3. Step 3: Cross multiply
    9,730.80x = 13,397.40 × 8,175.60
  4. Step 4: Simplify right side
    9,730.80x = 109,531,783.44
  5. Step 5: Solve for x
    x = 109,531,783.44/9,730.80
  6. Step 6: Final answer
    x = 11,256.20

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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.