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Finding the Fourth Proportional to 7,009.75, 9,673.64 and 4,026.12

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Solution

The fourth proportional to 7,009.75, 9,673.64 and 4,026.12 is: 5,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.75 : 9,673.64 = 4,026.12 : x
  2. Step 2: Convert to fraction form
    7,009.75/9,673.64 = 4,026.12/x
  3. Step 3: Cross multiply
    7,009.75x = 9,673.64 × 4,026.12
  4. Step 4: Simplify right side
    7,009.75x = 38,947,235.48
  5. Step 5: Solve for x
    x = 38,947,235.48/7,009.75
  6. Step 6: Final answer
    x = 5,556.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.