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Finding the Fourth Proportional to 8,965.79, 13,448.57 and 4,031.94

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Solution

The fourth proportional to 8,965.79, 13,448.57 and 4,031.94 is: 6,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.79 : 13,448.57 = 4,031.94 : x
  2. Step 2: Convert to fraction form
    8,965.79/13,448.57 = 4,031.94/x
  3. Step 3: Cross multiply
    8,965.79x = 13,448.57 × 4,031.94
  4. Step 4: Simplify right side
    8,965.79x = 54,223,807.17
  5. Step 5: Solve for x
    x = 54,223,807.17/8,965.79
  6. Step 6: Final answer
    x = 6,047.86

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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.