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Finding the Fourth Proportional to 9,775.09, 13,489.64 and 5,298.82

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Solution

The fourth proportional to 9,775.09, 13,489.64 and 5,298.82 is: 7,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.09 : 13,489.64 = 5,298.82 : x
  2. Step 2: Convert to fraction form
    9,775.09/13,489.64 = 5,298.82/x
  3. Step 3: Cross multiply
    9,775.09x = 13,489.64 × 5,298.82
  4. Step 4: Simplify right side
    9,775.09x = 71,479,174.22
  5. Step 5: Solve for x
    x = 71,479,174.22/9,775.09
  6. Step 6: Final answer
    x = 7,312.38

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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.