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Finding the Fourth Proportional to 7,009.32, 9,672.43 and 4,023.06

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Solution

The fourth proportional to 7,009.32, 9,672.43 and 4,023.06 is: 5,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.32 : 9,672.43 = 4,023.06 : x
  2. Step 2: Convert to fraction form
    7,009.32/9,672.43 = 4,023.06/x
  3. Step 3: Cross multiply
    7,009.32x = 9,672.43 × 4,023.06
  4. Step 4: Simplify right side
    7,009.32x = 38,912,766.24
  5. Step 5: Solve for x
    x = 38,912,766.24/7,009.32
  6. Step 6: Final answer
    x = 5,551.58

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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.