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Finding the Fourth Proportional to 11,569.05, 15,950.36 and 9,442.39

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Solution

The fourth proportional to 11,569.05, 15,950.36 and 9,442.39 is: 13,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.05 : 15,950.36 = 9,442.39 : x
  2. Step 2: Convert to fraction form
    11,569.05/15,950.36 = 9,442.39/x
  3. Step 3: Cross multiply
    11,569.05x = 15,950.36 × 9,442.39
  4. Step 4: Simplify right side
    11,569.05x = 150,609,519.76
  5. Step 5: Solve for x
    x = 150,609,519.76/11,569.05
  6. Step 6: Final answer
    x = 13,018.32

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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.