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Finding the Fourth Proportional to 9,689.12, 13,368.94 and 6,336.86

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Solution

The fourth proportional to 9,689.12, 13,368.94 and 6,336.86 is: 8,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.12 : 13,368.94 = 6,336.86 : x
  2. Step 2: Convert to fraction form
    9,689.12/13,368.94 = 6,336.86/x
  3. Step 3: Cross multiply
    9,689.12x = 13,368.94 × 6,336.86
  4. Step 4: Simplify right side
    9,689.12x = 84,717,101.13
  5. Step 5: Solve for x
    x = 84,717,101.13/9,689.12
  6. Step 6: Final answer
    x = 8,743.53

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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.