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Finding the Fourth Proportional to 9,508.05, 14,264.81 and 4,827.87

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Solution

The fourth proportional to 9,508.05, 14,264.81 and 4,827.87 is: 7,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.05 : 14,264.81 = 4,827.87 : x
  2. Step 2: Convert to fraction form
    9,508.05/14,264.81 = 4,827.87/x
  3. Step 3: Cross multiply
    9,508.05x = 14,264.81 × 4,827.87
  4. Step 4: Simplify right side
    9,508.05x = 68,868,648.25
  5. Step 5: Solve for x
    x = 68,868,648.25/9,508.05
  6. Step 6: Final answer
    x = 7,243.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.