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Finding the Fourth Proportional to 7,009.18, 9,672.72 and 3,865.48

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Solution

The fourth proportional to 7,009.18, 9,672.72 and 3,865.48 is: 5,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.18 : 9,672.72 = 3,865.48 : x
  2. Step 2: Convert to fraction form
    7,009.18/9,672.72 = 3,865.48/x
  3. Step 3: Cross multiply
    7,009.18x = 9,672.72 × 3,865.48
  4. Step 4: Simplify right side
    7,009.18x = 37,389,705.71
  5. Step 5: Solve for x
    x = 37,389,705.71/7,009.18
  6. Step 6: Final answer
    x = 5,334.39

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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.