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Finding the Fourth Proportional to 9,256.79, 12,775.10 and 5,901.09

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Solution

The fourth proportional to 9,256.79, 12,775.10 and 5,901.09 is: 8,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.79 : 12,775.10 = 5,901.09 : x
  2. Step 2: Convert to fraction form
    9,256.79/12,775.10 = 5,901.09/x
  3. Step 3: Cross multiply
    9,256.79x = 12,775.10 × 5,901.09
  4. Step 4: Simplify right side
    9,256.79x = 75,386,985.35
  5. Step 5: Solve for x
    x = 75,386,985.35/9,256.79
  6. Step 6: Final answer
    x = 8,143.97

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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.