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Finding the Fourth Proportional to 9,096.76, 12,547.86 and 6,259.24

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Solution

The fourth proportional to 9,096.76, 12,547.86 and 6,259.24 is: 8,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.76 : 12,547.86 = 6,259.24 : x
  2. Step 2: Convert to fraction form
    9,096.76/12,547.86 = 6,259.24/x
  3. Step 3: Cross multiply
    9,096.76x = 12,547.86 × 6,259.24
  4. Step 4: Simplify right side
    9,096.76x = 78,540,067.23
  5. Step 5: Solve for x
    x = 78,540,067.23/9,096.76
  6. Step 6: Final answer
    x = 8,633.85

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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.