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Finding the Fourth Proportional to 9,577.51, 13,217.28 and 5,801.38

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Solution

The fourth proportional to 9,577.51, 13,217.28 and 5,801.38 is: 8,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.51 : 13,217.28 = 5,801.38 : x
  2. Step 2: Convert to fraction form
    9,577.51/13,217.28 = 5,801.38/x
  3. Step 3: Cross multiply
    9,577.51x = 13,217.28 × 5,801.38
  4. Step 4: Simplify right side
    9,577.51x = 76,678,463.85
  5. Step 5: Solve for x
    x = 76,678,463.85/9,577.51
  6. Step 6: Final answer
    x = 8,006.10

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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.