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Finding the Fourth Proportional to 9,265.70, 13,886.26 and 4,886.26

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Solution

The fourth proportional to 9,265.70, 13,886.26 and 4,886.26 is: 7,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.70 : 13,886.26 = 4,886.26 : x
  2. Step 2: Convert to fraction form
    9,265.70/13,886.26 = 4,886.26/x
  3. Step 3: Cross multiply
    9,265.70x = 13,886.26 × 4,886.26
  4. Step 4: Simplify right side
    9,265.70x = 67,851,876.79
  5. Step 5: Solve for x
    x = 67,851,876.79/9,265.70
  6. Step 6: Final answer
    x = 7,322.91

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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.