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Finding the Fourth Proportional to 9,558.78, 14,327.82 and 4,015.14

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Solution

The fourth proportional to 9,558.78, 14,327.82 and 4,015.14 is: 6,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.78 : 14,327.82 = 4,015.14 : x
  2. Step 2: Convert to fraction form
    9,558.78/14,327.82 = 4,015.14/x
  3. Step 3: Cross multiply
    9,558.78x = 14,327.82 × 4,015.14
  4. Step 4: Simplify right side
    9,558.78x = 57,528,203.19
  5. Step 5: Solve for x
    x = 57,528,203.19/9,558.78
  6. Step 6: Final answer
    x = 6,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.