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Finding the Fourth Proportional to 6,991.72, 9,637.38 and 5,307.64

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Solution

The fourth proportional to 6,991.72, 9,637.38 and 5,307.64 is: 7,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.72 : 9,637.38 = 5,307.64 : x
  2. Step 2: Convert to fraction form
    6,991.72/9,637.38 = 5,307.64/x
  3. Step 3: Cross multiply
    6,991.72x = 9,637.38 × 5,307.64
  4. Step 4: Simplify right side
    6,991.72x = 51,151,743.58
  5. Step 5: Solve for x
    x = 51,151,743.58/6,991.72
  6. Step 6: Final answer
    x = 7,316.05

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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.