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Finding the Fourth Proportional to 6,387.21, 9,569.30 and 5,346.09

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Solution

The fourth proportional to 6,387.21, 9,569.30 and 5,346.09 is: 8,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.21 : 9,569.30 = 5,346.09 : x
  2. Step 2: Convert to fraction form
    6,387.21/9,569.30 = 5,346.09/x
  3. Step 3: Cross multiply
    6,387.21x = 9,569.30 × 5,346.09
  4. Step 4: Simplify right side
    6,387.21x = 51,158,312.31
  5. Step 5: Solve for x
    x = 51,158,312.31/6,387.21
  6. Step 6: Final answer
    x = 8,009.49

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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.