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Finding the Fourth Proportional to 9,963.14, 13,742.06 and 6,556.02

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Solution

The fourth proportional to 9,963.14, 13,742.06 and 6,556.02 is: 9,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.14 : 13,742.06 = 6,556.02 : x
  2. Step 2: Convert to fraction form
    9,963.14/13,742.06 = 6,556.02/x
  3. Step 3: Cross multiply
    9,963.14x = 13,742.06 × 6,556.02
  4. Step 4: Simplify right side
    9,963.14x = 90,093,187.42
  5. Step 5: Solve for x
    x = 90,093,187.42/9,963.14
  6. Step 6: Final answer
    x = 9,042.65

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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.