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Finding the Fourth Proportional to 9,607.62, 14,415.21 and 4,063.98

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Solution

The fourth proportional to 9,607.62, 14,415.21 and 4,063.98 is: 6,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.62 : 14,415.21 = 4,063.98 : x
  2. Step 2: Convert to fraction form
    9,607.62/14,415.21 = 4,063.98/x
  3. Step 3: Cross multiply
    9,607.62x = 14,415.21 × 4,063.98
  4. Step 4: Simplify right side
    9,607.62x = 58,583,125.14
  5. Step 5: Solve for x
    x = 58,583,125.14/9,607.62
  6. Step 6: Final answer
    x = 6,097.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.