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Finding the Fourth Proportional to 9,390.71, 14,093.17 and 6,422.06

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Solution

The fourth proportional to 9,390.71, 14,093.17 and 6,422.06 is: 9,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.71 : 14,093.17 = 6,422.06 : x
  2. Step 2: Convert to fraction form
    9,390.71/14,093.17 = 6,422.06/x
  3. Step 3: Cross multiply
    9,390.71x = 14,093.17 × 6,422.06
  4. Step 4: Simplify right side
    9,390.71x = 90,507,202.51
  5. Step 5: Solve for x
    x = 90,507,202.51/9,390.71
  6. Step 6: Final answer
    x = 9,637.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.