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Finding the Fourth Proportional to 9,261.16, 13,899.06 and 3,421.90

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Solution

The fourth proportional to 9,261.16, 13,899.06 and 3,421.90 is: 5,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.16 : 13,899.06 = 3,421.90 : x
  2. Step 2: Convert to fraction form
    9,261.16/13,899.06 = 3,421.90/x
  3. Step 3: Cross multiply
    9,261.16x = 13,899.06 × 3,421.90
  4. Step 4: Simplify right side
    9,261.16x = 47,561,193.41
  5. Step 5: Solve for x
    x = 47,561,193.41/9,261.16
  6. Step 6: Final answer
    x = 5,135.55

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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.