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Finding the Fourth Proportional to 9,884.95, 13,641.11 and 5,408.65

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Solution

The fourth proportional to 9,884.95, 13,641.11 and 5,408.65 is: 7,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.95 : 13,641.11 = 5,408.65 : x
  2. Step 2: Convert to fraction form
    9,884.95/13,641.11 = 5,408.65/x
  3. Step 3: Cross multiply
    9,884.95x = 13,641.11 × 5,408.65
  4. Step 4: Simplify right side
    9,884.95x = 73,779,962.56
  5. Step 5: Solve for x
    x = 73,779,962.56/9,884.95
  6. Step 6: Final answer
    x = 7,463.87

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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.