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Finding the Fourth Proportional to 9,456.65, 13,049.04 and 5,477.21

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Solution

The fourth proportional to 9,456.65, 13,049.04 and 5,477.21 is: 7,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.65 : 13,049.04 = 5,477.21 : x
  2. Step 2: Convert to fraction form
    9,456.65/13,049.04 = 5,477.21/x
  3. Step 3: Cross multiply
    9,456.65x = 13,049.04 × 5,477.21
  4. Step 4: Simplify right side
    9,456.65x = 71,472,332.38
  5. Step 5: Solve for x
    x = 71,472,332.38/9,456.65
  6. Step 6: Final answer
    x = 7,557.89

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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.