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Finding the Fourth Proportional to 9,689.36, 13,373.15 and 6,335.06

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Solution

The fourth proportional to 9,689.36, 13,373.15 and 6,335.06 is: 8,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.36 : 13,373.15 = 6,335.06 : x
  2. Step 2: Convert to fraction form
    9,689.36/13,373.15 = 6,335.06/x
  3. Step 3: Cross multiply
    9,689.36x = 13,373.15 × 6,335.06
  4. Step 4: Simplify right side
    9,689.36x = 84,719,609.10
  5. Step 5: Solve for x
    x = 84,719,609.10/9,689.36
  6. Step 6: Final answer
    x = 8,743.58

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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.