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Finding the Fourth Proportional to 9,891.76, 14,837.64 and 2,966.26

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Solution

The fourth proportional to 9,891.76, 14,837.64 and 2,966.26 is: 4,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.76 : 14,837.64 = 2,966.26 : x
  2. Step 2: Convert to fraction form
    9,891.76/14,837.64 = 2,966.26/x
  3. Step 3: Cross multiply
    9,891.76x = 14,837.64 × 2,966.26
  4. Step 4: Simplify right side
    9,891.76x = 44,012,298.03
  5. Step 5: Solve for x
    x = 44,012,298.03/9,891.76
  6. Step 6: Final answer
    x = 4,449.39

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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.