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Finding the Fourth Proportional to 9,664.65, 13,343.64 and 7,422.51

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Solution

The fourth proportional to 9,664.65, 13,343.64 and 7,422.51 is: 10,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.65 : 13,343.64 = 7,422.51 : x
  2. Step 2: Convert to fraction form
    9,664.65/13,343.64 = 7,422.51/x
  3. Step 3: Cross multiply
    9,664.65x = 13,343.64 × 7,422.51
  4. Step 4: Simplify right side
    9,664.65x = 99,043,323.54
  5. Step 5: Solve for x
    x = 99,043,323.54/9,664.65
  6. Step 6: Final answer
    x = 10,248.00

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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.