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Finding the Fourth Proportional to 8,946.89, 13,411.88 and 4,264.41

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Solution

The fourth proportional to 8,946.89, 13,411.88 and 4,264.41 is: 6,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.89 : 13,411.88 = 4,264.41 : x
  2. Step 2: Convert to fraction form
    8,946.89/13,411.88 = 4,264.41/x
  3. Step 3: Cross multiply
    8,946.89x = 13,411.88 × 4,264.41
  4. Step 4: Simplify right side
    8,946.89x = 57,193,800.15
  5. Step 5: Solve for x
    x = 57,193,800.15/8,946.89
  6. Step 6: Final answer
    x = 6,392.59

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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.