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Finding the Fourth Proportional to 7,009.31, 9,672.72 and 3,822.63

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Solution

The fourth proportional to 7,009.31, 9,672.72 and 3,822.63 is: 5,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.31 : 9,672.72 = 3,822.63 : x
  2. Step 2: Convert to fraction form
    7,009.31/9,672.72 = 3,822.63/x
  3. Step 3: Cross multiply
    7,009.31x = 9,672.72 × 3,822.63
  4. Step 4: Simplify right side
    7,009.31x = 36,975,162.18
  5. Step 5: Solve for x
    x = 36,975,162.18/7,009.31
  6. Step 6: Final answer
    x = 5,275.15

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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.