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Finding the Fourth Proportional to 6,289.69, 9,437.27 and 4,345.09

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Solution

The fourth proportional to 6,289.69, 9,437.27 and 4,345.09 is: 6,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.69 : 9,437.27 = 4,345.09 : x
  2. Step 2: Convert to fraction form
    6,289.69/9,437.27 = 4,345.09/x
  3. Step 3: Cross multiply
    6,289.69x = 9,437.27 × 4,345.09
  4. Step 4: Simplify right side
    6,289.69x = 41,005,787.50
  5. Step 5: Solve for x
    x = 41,005,787.50/6,289.69
  6. Step 6: Final answer
    x = 6,519.52

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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.