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Finding the Fourth Proportional to 9,193.51, 12,673.45 and 7,174.64

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Solution

The fourth proportional to 9,193.51, 12,673.45 and 7,174.64 is: 9,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.51 : 12,673.45 = 7,174.64 : x
  2. Step 2: Convert to fraction form
    9,193.51/12,673.45 = 7,174.64/x
  3. Step 3: Cross multiply
    9,193.51x = 12,673.45 × 7,174.64
  4. Step 4: Simplify right side
    9,193.51x = 90,927,441.31
  5. Step 5: Solve for x
    x = 90,927,441.31/9,193.51
  6. Step 6: Final answer
    x = 9,890.39

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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.