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Finding the Fourth Proportional to 9,412.78, 12,990.04 and 5,635.21

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Solution

The fourth proportional to 9,412.78, 12,990.04 and 5,635.21 is: 7,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.78 : 12,990.04 = 5,635.21 : x
  2. Step 2: Convert to fraction form
    9,412.78/12,990.04 = 5,635.21/x
  3. Step 3: Cross multiply
    9,412.78x = 12,990.04 × 5,635.21
  4. Step 4: Simplify right side
    9,412.78x = 73,201,603.31
  5. Step 5: Solve for x
    x = 73,201,603.31/9,412.78
  6. Step 6: Final answer
    x = 7,776.84

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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.