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Finding the Fourth Proportional to 7,009.17, 9,672.26 and 4,025.76

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Solution

The fourth proportional to 7,009.17, 9,672.26 and 4,025.76 is: 5,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.17 : 9,672.26 = 4,025.76 : x
  2. Step 2: Convert to fraction form
    7,009.17/9,672.26 = 4,025.76/x
  3. Step 3: Cross multiply
    7,009.17x = 9,672.26 × 4,025.76
  4. Step 4: Simplify right side
    7,009.17x = 38,938,177.29
  5. Step 5: Solve for x
    x = 38,938,177.29/7,009.17
  6. Step 6: Final answer
    x = 5,555.32

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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.