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Finding the Fourth Proportional to 9,731.66, 13,429.41 and 5,752.76

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Solution

The fourth proportional to 9,731.66, 13,429.41 and 5,752.76 is: 7,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.66 : 13,429.41 = 5,752.76 : x
  2. Step 2: Convert to fraction form
    9,731.66/13,429.41 = 5,752.76/x
  3. Step 3: Cross multiply
    9,731.66x = 13,429.41 × 5,752.76
  4. Step 4: Simplify right side
    9,731.66x = 77,256,172.67
  5. Step 5: Solve for x
    x = 77,256,172.67/9,731.66
  6. Step 6: Final answer
    x = 7,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.