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Finding the Fourth Proportional to 9,604.16, 14,397.44 and 8,132.84

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Solution

The fourth proportional to 9,604.16, 14,397.44 and 8,132.84 is: 12,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.16 : 14,397.44 = 8,132.84 : x
  2. Step 2: Convert to fraction form
    9,604.16/14,397.44 = 8,132.84/x
  3. Step 3: Cross multiply
    9,604.16x = 14,397.44 × 8,132.84
  4. Step 4: Simplify right side
    9,604.16x = 117,092,075.93
  5. Step 5: Solve for x
    x = 117,092,075.93/9,604.16
  6. Step 6: Final answer
    x = 12,191.81

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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.