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Finding the Fourth Proportional to 9,051.10, 13,578.19 and 2,809.95

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Solution

The fourth proportional to 9,051.10, 13,578.19 and 2,809.95 is: 4,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.10 : 13,578.19 = 2,809.95 : x
  2. Step 2: Convert to fraction form
    9,051.10/13,578.19 = 2,809.95/x
  3. Step 3: Cross multiply
    9,051.10x = 13,578.19 × 2,809.95
  4. Step 4: Simplify right side
    9,051.10x = 38,154,092.28
  5. Step 5: Solve for x
    x = 38,154,092.28/9,051.10
  6. Step 6: Final answer
    x = 4,215.41

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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.