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Finding the Fourth Proportional to 9,664.84, 13,343.90 and 7,422.71

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Solution

The fourth proportional to 9,664.84, 13,343.90 and 7,422.71 is: 10,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.84 : 13,343.90 = 7,422.71 : x
  2. Step 2: Convert to fraction form
    9,664.84/13,343.90 = 7,422.71/x
  3. Step 3: Cross multiply
    9,664.84x = 13,343.90 × 7,422.71
  4. Step 4: Simplify right side
    9,664.84x = 99,047,837.89
  5. Step 5: Solve for x
    x = 99,047,837.89/9,664.84
  6. Step 6: Final answer
    x = 10,248.27

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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.