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Finding the Fourth Proportional to 9,891.82, 14,840.16 and 2,966.32

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Solution

The fourth proportional to 9,891.82, 14,840.16 and 2,966.32 is: 4,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.82 : 14,840.16 = 2,966.32 : x
  2. Step 2: Convert to fraction form
    9,891.82/14,840.16 = 2,966.32/x
  3. Step 3: Cross multiply
    9,891.82x = 14,840.16 × 2,966.32
  4. Step 4: Simplify right side
    9,891.82x = 44,020,663.41
  5. Step 5: Solve for x
    x = 44,020,663.41/9,891.82
  6. Step 6: Final answer
    x = 4,450.21

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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.