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Finding the Fourth Proportional to 9,847.01, 13,588.38 and 5,597.51

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Solution

The fourth proportional to 9,847.01, 13,588.38 and 5,597.51 is: 7,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.01 : 13,588.38 = 5,597.51 : x
  2. Step 2: Convert to fraction form
    9,847.01/13,588.38 = 5,597.51/x
  3. Step 3: Cross multiply
    9,847.01x = 13,588.38 × 5,597.51
  4. Step 4: Simplify right side
    9,847.01x = 76,061,155.39
  5. Step 5: Solve for x
    x = 76,061,155.39/9,847.01
  6. Step 6: Final answer
    x = 7,724.29

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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.