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Finding the Fourth Proportional to 28,863.66, 43,291.16 and 9,139.66

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Solution

The fourth proportional to 28,863.66, 43,291.16 and 9,139.66 is: 13,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,863.66 : 43,291.16 = 9,139.66 : x
  2. Step 2: Convert to fraction form
    28,863.66/43,291.16 = 9,139.66/x
  3. Step 3: Cross multiply
    28,863.66x = 43,291.16 × 9,139.66
  4. Step 4: Simplify right side
    28,863.66x = 395,666,483.41
  5. Step 5: Solve for x
    x = 395,666,483.41/28,863.66
  6. Step 6: Final answer
    x = 13,708.12

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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.