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Finding the Fourth Proportional to 9,463.65, 13,059.14 and 5,484.67

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Solution

The fourth proportional to 9,463.65, 13,059.14 and 5,484.67 is: 7,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.65 : 13,059.14 = 5,484.67 : x
  2. Step 2: Convert to fraction form
    9,463.65/13,059.14 = 5,484.67/x
  3. Step 3: Cross multiply
    9,463.65x = 13,059.14 × 5,484.67
  4. Step 4: Simplify right side
    9,463.65x = 71,625,073.38
  5. Step 5: Solve for x
    x = 71,625,073.38/9,463.65
  6. Step 6: Final answer
    x = 7,568.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.