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Finding the Fourth Proportional to 9,001.68, 12,422.21 and 5,646.46

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Solution

The fourth proportional to 9,001.68, 12,422.21 and 5,646.46 is: 7,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.68 : 12,422.21 = 5,646.46 : x
  2. Step 2: Convert to fraction form
    9,001.68/12,422.21 = 5,646.46/x
  3. Step 3: Cross multiply
    9,001.68x = 12,422.21 × 5,646.46
  4. Step 4: Simplify right side
    9,001.68x = 70,141,525.99
  5. Step 5: Solve for x
    x = 70,141,525.99/9,001.68
  6. Step 6: Final answer
    x = 7,792.05

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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.