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Finding the Fourth Proportional to 9,885.42, 13,641.29 and 5,408.28

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Solution

The fourth proportional to 9,885.42, 13,641.29 and 5,408.28 is: 7,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.42 : 13,641.29 = 5,408.28 : x
  2. Step 2: Convert to fraction form
    9,885.42/13,641.29 = 5,408.28/x
  3. Step 3: Cross multiply
    9,885.42x = 13,641.29 × 5,408.28
  4. Step 4: Simplify right side
    9,885.42x = 73,775,915.88
  5. Step 5: Solve for x
    x = 73,775,915.88/9,885.42
  6. Step 6: Final answer
    x = 7,463.10

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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.