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Finding the Fourth Proportional to 9,857.54, 13,587.20 and 6,987.23

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Solution

The fourth proportional to 9,857.54, 13,587.20 and 6,987.23 is: 9,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.54 : 13,587.20 = 6,987.23 : x
  2. Step 2: Convert to fraction form
    9,857.54/13,587.20 = 6,987.23/x
  3. Step 3: Cross multiply
    9,857.54x = 13,587.20 × 6,987.23
  4. Step 4: Simplify right side
    9,857.54x = 94,936,891.46
  5. Step 5: Solve for x
    x = 94,936,891.46/9,857.54
  6. Step 6: Final answer
    x = 9,630.89

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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.