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Finding the Fourth Proportional to 9,797, 14,696.40 and 3,873.56

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Solution

The fourth proportional to 9,797, 14,696.40 and 3,873.56 is: 5,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797 : 14,696.40 = 3,873.56 : x
  2. Step 2: Convert to fraction form
    9,797/14,696.40 = 3,873.56/x
  3. Step 3: Cross multiply
    9,797x = 14,696.40 × 3,873.56
  4. Step 4: Simplify right side
    9,797x = 56,927,387.18
  5. Step 5: Solve for x
    x = 56,927,387.18/9,797
  6. Step 6: Final answer
    x = 5,810.70

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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.